-6(n+7)=-2(6+4n)

Solution for -6(n+7)=-2(6+4n) equation:

Simplifying
-6(n + 7) = -2(6 + 4n)

Reorder the terms:
-6(7 + n) = -2(6 + 4n)
(7 * -6 + n * -6) = -2(6 + 4n)
(-42 + -6n) = -2(6 + 4n)
-42 + -6n = (6 * -2 + 4n * -2)
-42 + -6n = (-12 + -8n)

Solving
-42 + -6n = -12 + -8n

Solving for variable 'n'.

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

Add '8n' to each side of the equation.
-42 + -6n + 8n = -12 + -8n + 8n

Combine like terms: -6n + 8n = 2n
-42 + 2n = -12 + -8n + 8n

Combine like terms: -8n + 8n = 0
-42 + 2n = -12 + 0
-42 + 2n = -12

Add '42' to each side of the equation.
-42 + 42 + 2n = -12 + 42

Combine like terms: -42 + 42 = 0
0 + 2n = -12 + 42
2n = -12 + 42

Combine like terms: -12 + 42 = 30
2n = 30

Divide each side by '2'.
n = 15

Simplifying
n = 15