6+9(b+4)=114

Solution for 6+9(b+4)=114 equation:

Simplifying
6 + 9(b + 4) = 114

Reorder the terms:
6 + 9(4 + b) = 114
6 + (4 * 9 + b * 9) = 114
6 + (36 + 9b) = 114

Combine like terms: 6 + 36 = 42
42 + 9b = 114

Solving
42 + 9b = 114

Solving for variable 'b'.

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

Add '-42' to each side of the equation.
42 + -42 + 9b = 114 + -42

Combine like terms: 42 + -42 = 0
0 + 9b = 114 + -42
9b = 114 + -42

Combine like terms: 114 + -42 = 72
9b = 72

Divide each side by '9'.
b = 8

Simplifying
b = 8