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

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

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

Reorder the terms:
-3(6 + 3b) + 3(b + 8) = 6
(6 * -3 + 3b * -3) + 3(b + 8) = 6
(-18 + -9b) + 3(b + 8) = 6

Reorder the terms:
-18 + -9b + 3(8 + b) = 6
-18 + -9b + (8 * 3 + b * 3) = 6
-18 + -9b + (24 + 3b) = 6

Reorder the terms:
-18 + 24 + -9b + 3b = 6

Combine like terms: -18 + 24 = 6
6 + -9b + 3b = 6

Combine like terms: -9b + 3b = -6b
6 + -6b = 6

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

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

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

Solving
-6b = 0

Solving for variable 'b'.

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

Divide each side by '-6'.
b = 0

Simplifying
b = 0