-(b-6)=3(b-6)

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

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

Reorder the terms:
-1(-6 + b) = 3(b + -6)
(-6 * -1 + b * -1) = 3(b + -6)
(6 + -1b) = 3(b + -6)

Reorder the terms:
6 + -1b = 3(-6 + b)
6 + -1b = (-6 * 3 + b * 3)
6 + -1b = (-18 + 3b)

Solving
6 + -1b = -18 + 3b

Solving for variable 'b'.

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

Add '-3b' to each side of the equation.
6 + -1b + -3b = -18 + 3b + -3b

Combine like terms: -1b + -3b = -4b
6 + -4b = -18 + 3b + -3b

Combine like terms: 3b + -3b = 0
6 + -4b = -18 + 0
6 + -4b = -18

Add '-6' to each side of the equation.
6 + -6 + -4b = -18 + -6

Combine like terms: 6 + -6 = 0
0 + -4b = -18 + -6
-4b = -18 + -6

Combine like terms: -18 + -6 = -24
-4b = -24

Divide each side by '-4'.
b = 6

Simplifying
b = 6