-7b+b=-4(-2b+1)+8(b+6)

Solution for -7b+b=-4(-2b+1)+8(b+6) equation:

Simplifying
-7b + b = -4(-2b + 1) + 8(b + 6)

Combine like terms: -7b + b = -6b
-6b = -4(-2b + 1) + 8(b + 6)

Reorder the terms:
-6b = -4(1 + -2b) + 8(b + 6)
-6b = (1 * -4 + -2b * -4) + 8(b + 6)
-6b = (-4 + 8b) + 8(b + 6)

Reorder the terms:
-6b = -4 + 8b + 8(6 + b)
-6b = -4 + 8b + (6 * 8 + b * 8)
-6b = -4 + 8b + (48 + 8b)

Reorder the terms:
-6b = -4 + 48 + 8b + 8b

Combine like terms: -4 + 48 = 44
-6b = 44 + 8b + 8b

Combine like terms: 8b + 8b = 16b
-6b = 44 + 16b

Solving
-6b = 44 + 16b

Solving for variable 'b'.

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

Add '-16b' to each side of the equation.
-6b + -16b = 44 + 16b + -16b

Combine like terms: -6b + -16b = -22b
-22b = 44 + 16b + -16b

Combine like terms: 16b + -16b = 0
-22b = 44 + 0
-22b = 44

Divide each side by '-22'.
b = -2

Simplifying
b = -2