105=-7(b-8)

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

Simplifying
105 = -7(b + -8)

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

Solving
105 = 56 + -7b

Solving for variable 'b'.

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

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

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

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

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

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

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

Simplifying
b = -7