-77=-7(n+6)

Solution for -77=-7(n+6) equation:

Simplifying
-77 = -7(n + 6)

Reorder the terms:
-77 = -7(6 + n)
-77 = (6 * -7 + n * -7)
-77 = (-42 + -7n)

Solving
-77 = -42 + -7n

Solving for variable 'n'.

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

Add '7n' to each side of the equation.
-77 + 7n = -42 + -7n + 7n

Combine like terms: -7n + 7n = 0
-77 + 7n = -42 + 0
-77 + 7n = -42

Add '77' to each side of the equation.
-77 + 77 + 7n = -42 + 77

Combine like terms: -77 + 77 = 0
0 + 7n = -42 + 77
7n = -42 + 77

Combine like terms: -42 + 77 = 35
7n = 35

Divide each side by '7'.
n = 5

Simplifying
n = 5