6(1+b)-5b=-3b-14

Solution for 6(1+b)-5b=-3b-14 equation:

Simplifying
6(1 + b) + -5b = -3b + -14
(1 * 6 + b * 6) + -5b = -3b + -14
(6 + 6b) + -5b = -3b + -14

Combine like terms: 6b + -5b = 1b
6 + 1b = -3b + -14

Reorder the terms:
6 + 1b = -14 + -3b

Solving
6 + 1b = -14 + -3b

Solving for variable 'b'.

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

Add '3b' to each side of the equation.
6 + 1b + 3b = -14 + -3b + 3b

Combine like terms: 1b + 3b = 4b
6 + 4b = -14 + -3b + 3b

Combine like terms: -3b + 3b = 0
6 + 4b = -14 + 0
6 + 4b = -14

Add '-6' to each side of the equation.
6 + -6 + 4b = -14 + -6

Combine like terms: 6 + -6 = 0
0 + 4b = -14 + -6
4b = -14 + -6

Combine like terms: -14 + -6 = -20
4b = -20

Divide each side by '4'.
b = -5

Simplifying
b = -5