-2(2s-3)-6=-3(8s+4)-3

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Solution for -2(2s-3)-6=-3(8s+4)-3 equation:


Simplifying
-2(2s + -3) + -6 = -3(8s + 4) + -3

Reorder the terms:
-2(-3 + 2s) + -6 = -3(8s + 4) + -3
(-3 * -2 + 2s * -2) + -6 = -3(8s + 4) + -3
(6 + -4s) + -6 = -3(8s + 4) + -3

Reorder the terms:
6 + -6 + -4s = -3(8s + 4) + -3

Combine like terms: 6 + -6 = 0
0 + -4s = -3(8s + 4) + -3
-4s = -3(8s + 4) + -3

Reorder the terms:
-4s = -3(4 + 8s) + -3
-4s = (4 * -3 + 8s * -3) + -3
-4s = (-12 + -24s) + -3

Reorder the terms:
-4s = -12 + -3 + -24s

Combine like terms: -12 + -3 = -15
-4s = -15 + -24s

Solving
-4s = -15 + -24s

Solving for variable 's'.

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

Add '24s' to each side of the equation.
-4s + 24s = -15 + -24s + 24s

Combine like terms: -4s + 24s = 20s
20s = -15 + -24s + 24s

Combine like terms: -24s + 24s = 0
20s = -15 + 0
20s = -15

Divide each side by '20'.
s = -0.75

Simplifying
s = -0.75

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