-5(b+6)-6(7b+2)=-42

Solution for -5(b+6)-6(7b+2)=-42 equation:

Simplifying
-5(b + 6) + -6(7b + 2) = -42

Reorder the terms:
-5(6 + b) + -6(7b + 2) = -42
(6 * -5 + b * -5) + -6(7b + 2) = -42
(-30 + -5b) + -6(7b + 2) = -42

Reorder the terms:
-30 + -5b + -6(2 + 7b) = -42
-30 + -5b + (2 * -6 + 7b * -6) = -42
-30 + -5b + (-12 + -42b) = -42

Reorder the terms:
-30 + -12 + -5b + -42b = -42

Combine like terms: -30 + -12 = -42
-42 + -5b + -42b = -42

Combine like terms: -5b + -42b = -47b
-42 + -47b = -42

Add '42' to each side of the equation.
-42 + 42 + -47b = -42 + 42

Combine like terms: -42 + 42 = 0
0 + -47b = -42 + 42
-47b = -42 + 42

Combine like terms: -42 + 42 = 0
-47b = 0

Solving
-47b = 0

Solving for variable 'b'.

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

Divide each side by '-47'.
b = 0

Simplifying
b = 0