-7(n+6)=-8n

Solution for -7(n+6)=-8n equation:

Simplifying
-7(n + 6) = -8n

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

Solving
-42 + -7n = -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 + -7n + 8n = -8n + 8n

Combine like terms: -7n + 8n = 1n
-42 + 1n = -8n + 8n

Combine like terms: -8n + 8n = 0
-42 + 1n = 0

Add '42' to each side of the equation.
-42 + 42 + 1n = 0 + 42

Combine like terms: -42 + 42 = 0
0 + 1n = 0 + 42
1n = 0 + 42

Combine like terms: 0 + 42 = 42
1n = 42

Divide each side by '1'.
n = 42

Simplifying
n = 42