-42=-7(b-5)

Solution for -42=-7(b-5) equation:

Simplifying
-42 = -7(b + -5)

Reorder the terms:
-42 = -7(-5 + b)
-42 = (-5 * -7 + b * -7)
-42 = (35 + -7b)

Solving
-42 = 35 + -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.
-42 + 7b = 35 + -7b + 7b

Combine like terms: -7b + 7b = 0
-42 + 7b = 35 + 0
-42 + 7b = 35

Add '42' to each side of the equation.
-42 + 42 + 7b = 35 + 42

Combine like terms: -42 + 42 = 0
0 + 7b = 35 + 42
7b = 35 + 42

Combine like terms: 35 + 42 = 77
7b = 77

Divide each side by '7'.
b = 11

Simplifying
b = 11