-3(-6-3)=2(3b-3)+3

Solution for -3(-6-3)=2(3b-3)+3 equation:

Simplifying
-3(-6 + -3) = 2(3b + -3) + 3

Combine like terms: -6 + -3 = -9
-3(-9) = 2(3b + -3) + 3

Multiply -3 * -9
27 = 2(3b + -3) + 3

Reorder the terms:
27 = 2(-3 + 3b) + 3
27 = (-3 * 2 + 3b * 2) + 3
27 = (-6 + 6b) + 3

Reorder the terms:
27 = -6 + 3 + 6b

Combine like terms: -6 + 3 = -3
27 = -3 + 6b

Solving
27 = -3 + 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.
27 + -6b = -3 + 6b + -6b

Combine like terms: 6b + -6b = 0
27 + -6b = -3 + 0
27 + -6b = -3

Add '-27' to each side of the equation.
27 + -27 + -6b = -3 + -27

Combine like terms: 27 + -27 = 0
0 + -6b = -3 + -27
-6b = -3 + -27

Combine like terms: -3 + -27 = -30
-6b = -30

Divide each side by '-6'.
b = 5

Simplifying
b = 5