7b-2(4b-8)=7(b+8)

Solution for 7b-2(4b-8)=7(b+8) equation:

Simplifying
7b + -2(4b + -8) = 7(b + 8)

Reorder the terms:
7b + -2(-8 + 4b) = 7(b + 8)
7b + (-8 * -2 + 4b * -2) = 7(b + 8)
7b + (16 + -8b) = 7(b + 8)

Reorder the terms:
16 + 7b + -8b = 7(b + 8)

Combine like terms: 7b + -8b = -1b
16 + -1b = 7(b + 8)

Reorder the terms:
16 + -1b = 7(8 + b)
16 + -1b = (8 * 7 + b * 7)
16 + -1b = (56 + 7b)

Solving
16 + -1b = 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.
16 + -1b + -7b = 56 + 7b + -7b

Combine like terms: -1b + -7b = -8b
16 + -8b = 56 + 7b + -7b

Combine like terms: 7b + -7b = 0
16 + -8b = 56 + 0
16 + -8b = 56

Add '-16' to each side of the equation.
16 + -16 + -8b = 56 + -16

Combine like terms: 16 + -16 = 0
0 + -8b = 56 + -16
-8b = 56 + -16

Combine like terms: 56 + -16 = 40
-8b = 40

Divide each side by '-8'.
b = -5

Simplifying
b = -5