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

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

Simplifying
-6(-1 + -3b) = 6(b + -7)
(-1 * -6 + -3b * -6) = 6(b + -7)
(6 + 18b) = 6(b + -7)

Reorder the terms:
6 + 18b = 6(-7 + b)
6 + 18b = (-7 * 6 + b * 6)
6 + 18b = (-42 + 6b)

Solving
6 + 18b = -42 + 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.
6 + 18b + -6b = -42 + 6b + -6b

Combine like terms: 18b + -6b = 12b
6 + 12b = -42 + 6b + -6b

Combine like terms: 6b + -6b = 0
6 + 12b = -42 + 0
6 + 12b = -42

Add '-6' to each side of the equation.
6 + -6 + 12b = -42 + -6

Combine like terms: 6 + -6 = 0
0 + 12b = -42 + -6
12b = -42 + -6

Combine like terms: -42 + -6 = -48
12b = -48

Divide each side by '12'.
b = -4

Simplifying
b = -4