7(-6b+6)=-6(1+3b)

Solution for 7(-6b+6)=-6(1+3b) equation:

Simplifying
7(-6b + 6) = -6(1 + 3b)

Reorder the terms:
7(6 + -6b) = -6(1 + 3b)
(6 * 7 + -6b * 7) = -6(1 + 3b)
(42 + -42b) = -6(1 + 3b)
42 + -42b = (1 * -6 + 3b * -6)
42 + -42b = (-6 + -18b)

Solving
42 + -42b = -6 + -18b

Solving for variable 'b'.

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

Add '18b' to each side of the equation.
42 + -42b + 18b = -6 + -18b + 18b

Combine like terms: -42b + 18b = -24b
42 + -24b = -6 + -18b + 18b

Combine like terms: -18b + 18b = 0
42 + -24b = -6 + 0
42 + -24b = -6

Add '-42' to each side of the equation.
42 + -42 + -24b = -6 + -42

Combine like terms: 42 + -42 = 0
0 + -24b = -6 + -42
-24b = -6 + -42

Combine like terms: -6 + -42 = -48
-24b = -48

Divide each side by '-24'.
b = 2

Simplifying
b = 2