105=-7(n-8)

Solution for 105=-7(n-8) equation:

Simplifying
105 = -7(n + -8)

Reorder the terms:
105 = -7(-8 + n)
105 = (-8 * -7 + n * -7)
105 = (56 + -7n)

Solving
105 = 56 + -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.
105 + 7n = 56 + -7n + 7n

Combine like terms: -7n + 7n = 0
105 + 7n = 56 + 0
105 + 7n = 56

Add '-105' to each side of the equation.
105 + -105 + 7n = 56 + -105

Combine like terms: 105 + -105 = 0
0 + 7n = 56 + -105
7n = 56 + -105

Combine like terms: 56 + -105 = -49
7n = -49

Divide each side by '7'.
n = -7

Simplifying
n = -7