b+4b=7(b-6)-8(b+6)

Solution for b+4b=7(b-6)-8(b+6) equation:

Simplifying
b + 4b = 7(b + -6) + -8(b + 6)

Combine like terms: b + 4b = 5b
5b = 7(b + -6) + -8(b + 6)

Reorder the terms:
5b = 7(-6 + b) + -8(b + 6)
5b = (-6 * 7 + b * 7) + -8(b + 6)
5b = (-42 + 7b) + -8(b + 6)

Reorder the terms:
5b = -42 + 7b + -8(6 + b)
5b = -42 + 7b + (6 * -8 + b * -8)
5b = -42 + 7b + (-48 + -8b)

Reorder the terms:
5b = -42 + -48 + 7b + -8b

Combine like terms: -42 + -48 = -90
5b = -90 + 7b + -8b

Combine like terms: 7b + -8b = -1b
5b = -90 + -1b

Solving
5b = -90 + -1b

Solving for variable 'b'.

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

Add 'b' to each side of the equation.
5b + b = -90 + -1b + b

Combine like terms: 5b + b = 6b
6b = -90 + -1b + b

Combine like terms: -1b + b = 0
6b = -90 + 0
6b = -90

Divide each side by '6'.
b = -15

Simplifying
b = -15