6+7(1-6b)=-8b+13

Solution for 6+7(1-6b)=-8b+13 equation:

Simplifying
6 + 7(1 + -6b) = -8b + 13
6 + (1 * 7 + -6b * 7) = -8b + 13
6 + (7 + -42b) = -8b + 13

Combine like terms: 6 + 7 = 13
13 + -42b = -8b + 13

Reorder the terms:
13 + -42b = 13 + -8b

Add '-13' to each side of the equation.
13 + -13 + -42b = 13 + -13 + -8b

Combine like terms: 13 + -13 = 0
0 + -42b = 13 + -13 + -8b
-42b = 13 + -13 + -8b

Combine like terms: 13 + -13 = 0
-42b = 0 + -8b
-42b = -8b

Solving
-42b = -8b

Solving for variable 'b'.

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

Add '8b' to each side of the equation.
-42b + 8b = -8b + 8b

Combine like terms: -42b + 8b = -34b
-34b = -8b + 8b

Combine like terms: -8b + 8b = 0
-34b = 0

Divide each side by '-34'.
b = 0

Simplifying
b = 0