6(1-7b)+6(-6b+5)=-42

Solution for 6(1-7b)+6(-6b+5)=-42 equation:

Simplifying
6(1 + -7b) + 6(-6b + 5) = -42
(1 * 6 + -7b * 6) + 6(-6b + 5) = -42
(6 + -42b) + 6(-6b + 5) = -42

Reorder the terms:
6 + -42b + 6(5 + -6b) = -42
6 + -42b + (5 * 6 + -6b * 6) = -42
6 + -42b + (30 + -36b) = -42

Reorder the terms:
6 + 30 + -42b + -36b = -42

Combine like terms: 6 + 30 = 36
36 + -42b + -36b = -42

Combine like terms: -42b + -36b = -78b
36 + -78b = -42

Solving
36 + -78b = -42

Solving for variable 'b'.

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

Add '-36' to each side of the equation.
36 + -36 + -78b = -42 + -36

Combine like terms: 36 + -36 = 0
0 + -78b = -42 + -36
-78b = -42 + -36

Combine like terms: -42 + -36 = -78
-78b = -78

Divide each side by '-78'.
b = 1

Simplifying
b = 1