-2(3s-3)-6=-3(6s+1)-5

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Solution for -2(3s-3)-6=-3(6s+1)-5 equation:


Simplifying
-2(3s + -3) + -6 = -3(6s + 1) + -5

Reorder the terms:
-2(-3 + 3s) + -6 = -3(6s + 1) + -5
(-3 * -2 + 3s * -2) + -6 = -3(6s + 1) + -5
(6 + -6s) + -6 = -3(6s + 1) + -5

Reorder the terms:
6 + -6 + -6s = -3(6s + 1) + -5

Combine like terms: 6 + -6 = 0
0 + -6s = -3(6s + 1) + -5
-6s = -3(6s + 1) + -5

Reorder the terms:
-6s = -3(1 + 6s) + -5
-6s = (1 * -3 + 6s * -3) + -5
-6s = (-3 + -18s) + -5

Reorder the terms:
-6s = -3 + -5 + -18s

Combine like terms: -3 + -5 = -8
-6s = -8 + -18s

Solving
-6s = -8 + -18s

Solving for variable 's'.

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

Add '18s' to each side of the equation.
-6s + 18s = -8 + -18s + 18s

Combine like terms: -6s + 18s = 12s
12s = -8 + -18s + 18s

Combine like terms: -18s + 18s = 0
12s = -8 + 0
12s = -8

Divide each side by '12'.
s = -0.6666666667

Simplifying
s = -0.6666666667

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