equation

5^(n - 1) = 15,625 We know 5^6 = 15,625, so we have: n - 1 = 6 Add 1 to each side: n - 1 + 1 = 6 + 1 Cancel the 1's on the left side: n = 7

1/n + 2/n + 3/n = 1 6/n = 1 Cross multiply: n * 1 = 6 n = 6

n + n/2 + n/4 + n/8 + n/16 = 19,375 Convert to like fractions with a denominator of 16: 16n/16 + 8n/16 + 4n/16 + +2n/16 + n/16 = 19,375 31n/16 = 19,375 Cross multiply: 31n = 19,375 * 16 31n = 310000 Divide each side by 1: 31n/31 = 310000/31 n = 10,000

1/n^2 = 3/192 Cross multiply: 192 * 1 = 3 * n^2 3n^2 = 192 Divide each side by 3: 3n^2/3 = 192/3 Cancel the 3's on the left side: n^2 = 64 Take the square root of both sides: n = 8 or -8

n + .07n = $90.95 Group like terms: 1.07n = $90.95 Solve for n in the equation 1.07n = 90.95 Step 1: Divide each side of the equation by 1.07 1.07n/1.07 = 90.95/1.07 n = 85 Source

-n = n Add n to each side: -n + n = n + n Cancel the n's on the left side: 0 = 2n Only number that solves this is n = 0

n^2 - 1 = -99/100 Add 1 (100/100) to each side: n^2 - 1 + 1 = -99/100 + 100/100 Cancel the 1's on the left side: n^2 = 1/100 Take the square root of both sides: n = 1/10 or -1/10

n^2 = 6&1/4 6&1/4 = 25/4 n^2 = 25/4 Take the square root of each side: n = 5/2 or -5/2

1 - n = n - 1 Solve for n in the equation 1 - n = n - 1 Step 1: Group variables: We need to group our variables -n and n. To do that, we subtract n from both sides -n + 1 - n = n - 1 - n Step 2: Cancel n on the right side: -2n + 1 = -1 Step 3: Group constants: We need to group our constants...

3n/5 = 1 Cross multiply: 3n = 5 * 1 3n = 5 Divide each side by 3: 3n/3 = 5/3 n = 5/3

n/11 = 11 Cross multiply: n = 11 * 11 n = 121

-5n - 5n - 5 = 5 Solve for n in the equation -5n - 5n - 5 = 5 Step 1: Group the n terms on the left hand side: (-5 - 5)n = -10n Step 2: Form modified equation -10n - 5 = + 5 Step 3: Group constants: We need to group our constants -5 and 5. To do that, we add 5 to both sides -10n - 5 + 5 = 5...

10n = 0.5 Solve for n in the equation 10n = .5 Step 1: Divide each side of the equation by 10 10n/10 = .5/10 n = 0.05 Source

n = 3n - 1/2 Solve for n in the equation n = 3n - 1/2 Step 1: Group variables: We need to group our variables n and 3n. To do that, we subtract 3n from both sides n - 3n = 3n - 0.5 - 3n Step 2: Cancel 3n on the right side: -2n = -0.5 Step 3: Divide each side of the equation by -2 -2n/-2 =...

n^2 = 1/4 Take the square root of each side: n = 1/2

-n/8 = 80 Cross multiply: -n = 80 * 8 -n = 640 Multiply each side by -1: -1 * -n = -1 * 640 n = -640

-n = -50 Multiply each side by -1: -1*-n = -1 * -50 n = 50

10n - 9n + 8n - 7n + 6n = 10 - 9 + 8 - 7 + 6 Solve for n in the equation 10n - 9n + 8n - 7n + 6n = 10 - 9 + 8 - 7 + 6 Step 1: Group the n terms on the left hand side: (10 - 9 + 8 - 7 + 6)n = 8n Step 2: Group the constant terms on the right hand side: 10 - 9 + 8 - 7 + 6 = 8 Step 3: Form...

n^2 + 9 = 34 Subtract 9 from each side: n^2 + 9 - 9 = 34 - 9 n^2 = 25 Take the square root of each side: n = 5

n + 9n - 90 = 0 Solve for n in the equation n + 9n - 90 = 0 Step 1: Group the n terms on the left hand side: (1 + 9)n = 10n Step 2: Form modified equation 10n - 90 = Step 3: Group constants: We need to group our constants -90 and 0. To do that, we add 90 to both sides 10n - 90 + 90 = 0 + 90...