3(12+6s)-1(-6+10s)=0

Solution for 3(12+6s)-1(-6+10s)=0 equation:

Simplifying
3(12 + 6s) + -1(-6 + 10s) = 0
(12 * 3 + 6s * 3) + -1(-6 + 10s) = 0
(36 + 18s) + -1(-6 + 10s) = 0
36 + 18s + (-6 * -1 + 10s * -1) = 0
36 + 18s + (6 + -10s) = 0

Reorder the terms:
36 + 6 + 18s + -10s = 0

Combine like terms: 36 + 6 = 42
42 + 18s + -10s = 0

Combine like terms: 18s + -10s = 8s
42 + 8s = 0

Solving
42 + 8s = 0

Solving for variable 's'.

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

Add '-42' to each side of the equation.
42 + -42 + 8s = 0 + -42

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

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

Divide each side by '8'.
s = -5.25

Simplifying
s = -5.25