6(-5n+1)+5n=-2n-40

Solution for 6(-5n+1)+5n=-2n-40 equation:

Simplifying
6(-5n + 1) + 5n = -2n + -40

Reorder the terms:
6(1 + -5n) + 5n = -2n + -40
(1 * 6 + -5n * 6) + 5n = -2n + -40
(6 + -30n) + 5n = -2n + -40

Combine like terms: -30n + 5n = -25n
6 + -25n = -2n + -40

Reorder the terms:
6 + -25n = -40 + -2n

Solving
6 + -25n = -40 + -2n

Solving for variable 'n'.

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

Add '2n' to each side of the equation.
6 + -25n + 2n = -40 + -2n + 2n

Combine like terms: -25n + 2n = -23n
6 + -23n = -40 + -2n + 2n

Combine like terms: -2n + 2n = 0
6 + -23n = -40 + 0
6 + -23n = -40

Add '-6' to each side of the equation.
6 + -6 + -23n = -40 + -6

Combine like terms: 6 + -6 = 0
0 + -23n = -40 + -6
-23n = -40 + -6

Combine like terms: -40 + -6 = -46
-23n = -46

Divide each side by '-23'.
n = 2

Simplifying
n = 2