-6(1+2b)=-7(b+8)

Solution for -6(1+2b)=-7(b+8) equation:

Simplifying
-6(1 + 2b) = -7(b + 8)
(1 * -6 + 2b * -6) = -7(b + 8)
(-6 + -12b) = -7(b + 8)

Reorder the terms:
-6 + -12b = -7(8 + b)
-6 + -12b = (8 * -7 + b * -7)
-6 + -12b = (-56 + -7b)

Solving
-6 + -12b = -56 + -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.
-6 + -12b + 7b = -56 + -7b + 7b

Combine like terms: -12b + 7b = -5b
-6 + -5b = -56 + -7b + 7b

Combine like terms: -7b + 7b = 0
-6 + -5b = -56 + 0
-6 + -5b = -56

Add '6' to each side of the equation.
-6 + 6 + -5b = -56 + 6

Combine like terms: -6 + 6 = 0
0 + -5b = -56 + 6
-5b = -56 + 6

Combine like terms: -56 + 6 = -50
-5b = -50

Divide each side by '-5'.
b = 10

Simplifying
b = 10