8(-7-1b)=-3(1b+7)

Solution for 8(-7-1b)=-3(1b+7) equation:

Simplifying
8(-7 + -1b) = -3(1b + 7)
(-7 * 8 + -1b * 8) = -3(1b + 7)
(-56 + -8b) = -3(1b + 7)

Reorder the terms:
-56 + -8b = -3(7 + 1b)
-56 + -8b = (7 * -3 + 1b * -3)
-56 + -8b = (-21 + -3b)

Solving
-56 + -8b = -21 + -3b

Solving for variable 'b'.

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

Add '3b' to each side of the equation.
-56 + -8b + 3b = -21 + -3b + 3b

Combine like terms: -8b + 3b = -5b
-56 + -5b = -21 + -3b + 3b

Combine like terms: -3b + 3b = 0
-56 + -5b = -21 + 0
-56 + -5b = -21

Add '56' to each side of the equation.
-56 + 56 + -5b = -21 + 56

Combine like terms: -56 + 56 = 0
0 + -5b = -21 + 56
-5b = -21 + 56

Combine like terms: -21 + 56 = 35
-5b = 35

Divide each side by '-5'.
b = -7

Simplifying
b = -7