3b-3(-2+6b)=-114

Solution for 3b-3(-2+6b)=-114 equation:

Simplifying
3b + -3(-2 + 6b) = -114
3b + (-2 * -3 + 6b * -3) = -114
3b + (6 + -18b) = -114

Reorder the terms:
6 + 3b + -18b = -114

Combine like terms: 3b + -18b = -15b
6 + -15b = -114

Solving
6 + -15b = -114

Solving for variable 'b'.

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

Add '-6' to each side of the equation.
6 + -6 + -15b = -114 + -6

Combine like terms: 6 + -6 = 0
0 + -15b = -114 + -6
-15b = -114 + -6

Combine like terms: -114 + -6 = -120
-15b = -120

Divide each side by '-15'.
b = 8

Simplifying
b = 8