-6(1+4n)=2n-32

Solution for -6(1+4n)=2n-32 equation:

Simplifying
-6(1 + 4n) = 2n + -32
(1 * -6 + 4n * -6) = 2n + -32
(-6 + -24n) = 2n + -32

Reorder the terms:
-6 + -24n = -32 + 2n

Solving
-6 + -24n = -32 + 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 + -24n + -2n = -32 + 2n + -2n

Combine like terms: -24n + -2n = -26n
-6 + -26n = -32 + 2n + -2n

Combine like terms: 2n + -2n = 0
-6 + -26n = -32 + 0
-6 + -26n = -32

Add '6' to each side of the equation.
-6 + 6 + -26n = -32 + 6

Combine like terms: -6 + 6 = 0
0 + -26n = -32 + 6
-26n = -32 + 6

Combine like terms: -32 + 6 = -26
-26n = -26

Divide each side by '-26'.
n = 1

Simplifying
n = 1