.10n+.25(n+5)=5.10

Solution for .10n+.25(n+5)=5.10 equation:

Simplifying
0.10n + 0.25(n + 5) = 5.10

Reorder the terms:
0.10n + 0.25(5 + n) = 5.10
0.10n + (5 * 0.25 + n * 0.25) = 5.10
0.10n + (1.25 + 0.25n) = 5.10

Reorder the terms:
1.25 + 0.10n + 0.25n = 5.10

Combine like terms: 0.10n + 0.25n = 0.35n
1.25 + 0.35n = 5.10

Solving
1.25 + 0.35n = 5.10

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-1.25' to each side of the equation.
1.25 + -1.25 + 0.35n = 5.10 + -1.25

Combine like terms: 1.25 + -1.25 = 0.00
0.00 + 0.35n = 5.10 + -1.25
0.35n = 5.10 + -1.25

Combine like terms: 5.10 + -1.25 = 3.85
0.35n = 3.85

Divide each side by '0.35'.
n = 11

Simplifying
n = 11