-3(b-1)=27-7b

Solution for -3(b-1)=27-7b equation:

Simplifying
-3(b + -1) = 27 + -7b

Reorder the terms:
-3(-1 + b) = 27 + -7b
(-1 * -3 + b * -3) = 27 + -7b
(3 + -3b) = 27 + -7b

Solving
3 + -3b = 27 + -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.
3 + -3b + 7b = 27 + -7b + 7b

Combine like terms: -3b + 7b = 4b
3 + 4b = 27 + -7b + 7b

Combine like terms: -7b + 7b = 0
3 + 4b = 27 + 0
3 + 4b = 27

Add '-3' to each side of the equation.
3 + -3 + 4b = 27 + -3

Combine like terms: 3 + -3 = 0
0 + 4b = 27 + -3
4b = 27 + -3

Combine like terms: 27 + -3 = 24
4b = 24

Divide each side by '4'.
b = 6

Simplifying
b = 6