6(-5n+7)-3(2n+1)=59

Solution for 6(-5n+7)-3(2n+1)=59 equation:

Simplifying
6(-5n + 7) + -3(2n + 1) = 59

Reorder the terms:
6(7 + -5n) + -3(2n + 1) = 59
(7 * 6 + -5n * 6) + -3(2n + 1) = 59
(42 + -30n) + -3(2n + 1) = 59

Reorder the terms:
42 + -30n + -3(1 + 2n) = 59
42 + -30n + (1 * -3 + 2n * -3) = 59
42 + -30n + (-3 + -6n) = 59

Reorder the terms:
42 + -3 + -30n + -6n = 59

Combine like terms: 42 + -3 = 39
39 + -30n + -6n = 59

Combine like terms: -30n + -6n = -36n
39 + -36n = 59

Solving
39 + -36n = 59

Solving for variable 'n'.

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

Add '-39' to each side of the equation.
39 + -39 + -36n = 59 + -39

Combine like terms: 39 + -39 = 0
0 + -36n = 59 + -39
-36n = 59 + -39

Combine like terms: 59 + -39 = 20
-36n = 20

Divide each side by '-36'.
n = -0.5555555556

Simplifying
n = -0.5555555556