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

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

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

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

Reorder the terms:
-56 + -8b = 3(8 + b) + -7b
-56 + -8b = (8 * 3 + b * 3) + -7b
-56 + -8b = (24 + 3b) + -7b

Combine like terms: 3b + -7b = -4b
-56 + -8b = 24 + -4b

Solving
-56 + -8b = 24 + -4b

Solving for variable 'b'.

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

Add '4b' to each side of the equation.
-56 + -8b + 4b = 24 + -4b + 4b

Combine like terms: -8b + 4b = -4b
-56 + -4b = 24 + -4b + 4b

Combine like terms: -4b + 4b = 0
-56 + -4b = 24 + 0
-56 + -4b = 24

Add '56' to each side of the equation.
-56 + 56 + -4b = 24 + 56

Combine like terms: -56 + 56 = 0
0 + -4b = 24 + 56
-4b = 24 + 56

Combine like terms: 24 + 56 = 80
-4b = 80

Divide each side by '-4'.
b = -20

Simplifying
b = -20