2(-5n+7)-3(2n+1)=59

Solution for 2(-5n+7)-3(2n+1)=59 equation:

Simplifying
2(-5n + 7) + -3(2n + 1) = 59

Reorder the terms:
2(7 + -5n) + -3(2n + 1) = 59
(7 * 2 + -5n * 2) + -3(2n + 1) = 59
(14 + -10n) + -3(2n + 1) = 59

Reorder the terms:
14 + -10n + -3(1 + 2n) = 59
14 + -10n + (1 * -3 + 2n * -3) = 59
14 + -10n + (-3 + -6n) = 59

Reorder the terms:
14 + -3 + -10n + -6n = 59

Combine like terms: 14 + -3 = 11
11 + -10n + -6n = 59

Combine like terms: -10n + -6n = -16n
11 + -16n = 59

Solving
11 + -16n = 59

Solving for variable 'n'.

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

Add '-11' to each side of the equation.
11 + -11 + -16n = 59 + -11

Combine like terms: 11 + -11 = 0
0 + -16n = 59 + -11
-16n = 59 + -11

Combine like terms: 59 + -11 = 48
-16n = 48

Divide each side by '-16'.
n = -3

Simplifying
n = -3