-6(b-7)+6(1+8b)=-3b-3b

Solution for -6(b-7)+6(1+8b)=-3b-3b equation:

Simplifying
-6(b + -7) + 6(1 + 8b) = -3b + -3b

Reorder the terms:
-6(-7 + b) + 6(1 + 8b) = -3b + -3b
(-7 * -6 + b * -6) + 6(1 + 8b) = -3b + -3b
(42 + -6b) + 6(1 + 8b) = -3b + -3b
42 + -6b + (1 * 6 + 8b * 6) = -3b + -3b
42 + -6b + (6 + 48b) = -3b + -3b

Reorder the terms:
42 + 6 + -6b + 48b = -3b + -3b

Combine like terms: 42 + 6 = 48
48 + -6b + 48b = -3b + -3b

Combine like terms: -6b + 48b = 42b
48 + 42b = -3b + -3b

Combine like terms: -3b + -3b = -6b
48 + 42b = -6b

Solving
48 + 42b = -6b

Solving for variable 'b'.

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

Add '6b' to each side of the equation.
48 + 42b + 6b = -6b + 6b

Combine like terms: 42b + 6b = 48b
48 + 48b = -6b + 6b

Combine like terms: -6b + 6b = 0
48 + 48b = 0

Add '-48' to each side of the equation.
48 + -48 + 48b = 0 + -48

Combine like terms: 48 + -48 = 0
0 + 48b = 0 + -48
48b = 0 + -48

Combine like terms: 0 + -48 = -48
48b = -48

Divide each side by '48'.
b = -1

Simplifying
b = -1