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

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

Simplifying
3(6 + b) + 5(b + 1) = 0
(6 * 3 + b * 3) + 5(b + 1) = 0
(18 + 3b) + 5(b + 1) = 0

Reorder the terms:
18 + 3b + 5(1 + b) = 0
18 + 3b + (1 * 5 + b * 5) = 0
18 + 3b + (5 + 5b) = 0

Reorder the terms:
18 + 5 + 3b + 5b = 0

Combine like terms: 18 + 5 = 23
23 + 3b + 5b = 0

Combine like terms: 3b + 5b = 8b
23 + 8b = 0

Solving
23 + 8b = 0

Solving for variable 'b'.

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

Add '-23' to each side of the equation.
23 + -23 + 8b = 0 + -23

Combine like terms: 23 + -23 = 0
0 + 8b = 0 + -23
8b = 0 + -23

Combine like terms: 0 + -23 = -23
8b = -23

Divide each side by '8'.
b = -2.875

Simplifying
b = -2.875