7(5s+6)=32-8s

Solution for 7(5s+6)=32-8s equation:

Simplifying
7(5s + 6) = 32 + -8s

Reorder the terms:
7(6 + 5s) = 32 + -8s
(6 * 7 + 5s * 7) = 32 + -8s
(42 + 35s) = 32 + -8s

Solving
42 + 35s = 32 + -8s

Solving for variable 's'.

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

Add '8s' to each side of the equation.
42 + 35s + 8s = 32 + -8s + 8s

Combine like terms: 35s + 8s = 43s
42 + 43s = 32 + -8s + 8s

Combine like terms: -8s + 8s = 0
42 + 43s = 32 + 0
42 + 43s = 32

Add '-42' to each side of the equation.
42 + -42 + 43s = 32 + -42

Combine like terms: 42 + -42 = 0
0 + 43s = 32 + -42
43s = 32 + -42

Combine like terms: 32 + -42 = -10
43s = -10

Divide each side by '43'.
s = -0.2325581395

Simplifying
s = -0.2325581395