5(9-7b)+14=-116

Solution for 5(9-7b)+14=-116 equation:

Simplifying
5(9 + -7b) + 14 = -116
(9 * 5 + -7b * 5) + 14 = -116
(45 + -35b) + 14 = -116

Reorder the terms:
45 + 14 + -35b = -116

Combine like terms: 45 + 14 = 59
59 + -35b = -116

Solving
59 + -35b = -116

Solving for variable 'b'.

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

Add '-59' to each side of the equation.
59 + -59 + -35b = -116 + -59

Combine like terms: 59 + -59 = 0
0 + -35b = -116 + -59
-35b = -116 + -59

Combine like terms: -116 + -59 = -175
-35b = -175

Divide each side by '-35'.
b = 5

Simplifying
b = 5