-3(-20s-17)=3(8s-16)-9

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Solution for -3(-20s-17)=3(8s-16)-9 equation: 


Simplifying
-3(-20s + -17) = 3(8s + -16) + -9

Reorder the terms:
-3(-17 + -20s) = 3(8s + -16) + -9
(-17 * -3 + -20s * -3) = 3(8s + -16) + -9
(51 + 60s) = 3(8s + -16) + -9

Reorder the terms:
51 + 60s = 3(-16 + 8s) + -9
51 + 60s = (-16 * 3 + 8s * 3) + -9
51 + 60s = (-48 + 24s) + -9

Reorder the terms:
51 + 60s = -48 + -9 + 24s

Combine like terms: -48 + -9 = -57
51 + 60s = -57 + 24s

Solving
51 + 60s = -57 + 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.
51 + 60s + -24s = -57 + 24s + -24s

Combine like terms: 60s + -24s = 36s
51 + 36s = -57 + 24s + -24s

Combine like terms: 24s + -24s = 0
51 + 36s = -57 + 0
51 + 36s = -57

Add '-51' to each side of the equation.
51 + -51 + 36s = -57 + -51

Combine like terms: 51 + -51 = 0
0 + 36s = -57 + -51
36s = -57 + -51

Combine like terms: -57 + -51 = -108
36s = -108

Divide each side by '36'.
s = -3

Simplifying
s = -3

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