-2(b+5)+7(6+b)=

Solution for -2(b+5)+7(6+b)= equation:

Simplifying
-2(b + 5) + 7(6 + b) = 0

Reorder the terms:
-2(5 + b) + 7(6 + b) = 0
(5 * -2 + b * -2) + 7(6 + b) = 0
(-10 + -2b) + 7(6 + b) = 0
-10 + -2b + (6 * 7 + b * 7) = 0
-10 + -2b + (42 + 7b) = 0

Reorder the terms:
-10 + 42 + -2b + 7b = 0

Combine like terms: -10 + 42 = 32
32 + -2b + 7b = 0

Combine like terms: -2b + 7b = 5b
32 + 5b = 0

Solving
32 + 5b = 0

Solving for variable 'b'.

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

Add '-32' to each side of the equation.
32 + -32 + 5b = 0 + -32

Combine like terms: 32 + -32 = 0
0 + 5b = 0 + -32
5b = 0 + -32

Combine like terms: 0 + -32 = -32
5b = -32

Divide each side by '5'.
b = -6.4

Simplifying
b = -6.4