42=7(b-13)

Solution for 42=7(b-13) equation:

Simplifying
42 = 7(b + -13)

Reorder the terms:
42 = 7(-13 + b)
42 = (-13 * 7 + b * 7)
42 = (-91 + 7b)

Solving
42 = -91 + 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 = -91 + 7b + -7b

Combine like terms: 7b + -7b = 0
42 + -7b = -91 + 0
42 + -7b = -91

Add '-42' to each side of the equation.
42 + -42 + -7b = -91 + -42

Combine like terms: 42 + -42 = 0
0 + -7b = -91 + -42
-7b = -91 + -42

Combine like terms: -91 + -42 = -133
-7b = -133

Divide each side by '-7'.
b = 19

Simplifying
b = 19