4b+3(b-2)=-13

Solution for 4b+3(b-2)=-13 equation:

Simplifying
4b + 3(b + -2) = -13

Reorder the terms:
4b + 3(-2 + b) = -13
4b + (-2 * 3 + b * 3) = -13
4b + (-6 + 3b) = -13

Reorder the terms:
-6 + 4b + 3b = -13

Combine like terms: 4b + 3b = 7b
-6 + 7b = -13

Solving
-6 + 7b = -13

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 + 7b = -13 + 6

Combine like terms: -6 + 6 = 0
0 + 7b = -13 + 6
7b = -13 + 6

Combine like terms: -13 + 6 = -7
7b = -7

Divide each side by '7'.
b = -1

Simplifying
b = -1