-3(5s-2)-6=-3(9s+4)-4

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Solution for -3(5s-2)-6=-3(9s+4)-4 equation: 


Simplifying
-3(5s + -2) + -6 = -3(9s + 4) + -4

Reorder the terms:
-3(-2 + 5s) + -6 = -3(9s + 4) + -4
(-2 * -3 + 5s * -3) + -6 = -3(9s + 4) + -4
(6 + -15s) + -6 = -3(9s + 4) + -4

Reorder the terms:
6 + -6 + -15s = -3(9s + 4) + -4

Combine like terms: 6 + -6 = 0
0 + -15s = -3(9s + 4) + -4
-15s = -3(9s + 4) + -4

Reorder the terms:
-15s = -3(4 + 9s) + -4
-15s = (4 * -3 + 9s * -3) + -4
-15s = (-12 + -27s) + -4

Reorder the terms:
-15s = -12 + -4 + -27s

Combine like terms: -12 + -4 = -16
-15s = -16 + -27s

Solving
-15s = -16 + -27s

Solving for variable 's'.

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

Add '27s' to each side of the equation.
-15s + 27s = -16 + -27s + 27s

Combine like terms: -15s + 27s = 12s
12s = -16 + -27s + 27s

Combine like terms: -27s + 27s = 0
12s = -16 + 0
12s = -16

Divide each side by '12'.
s = -1.333333333

Simplifying
s = -1.333333333

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