5+3(2s-8)-3(4s+5)-6=

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Solution for 5+3(2s-8)-3(4s+5)-6= equation: 


Simplifying
5 + 3(2s + -8) + -3(4s + 5) + -6 = 0

Reorder the terms:
5 + 3(-8 + 2s) + -3(4s + 5) + -6 = 0
5 + (-8 * 3 + 2s * 3) + -3(4s + 5) + -6 = 0
5 + (-24 + 6s) + -3(4s + 5) + -6 = 0

Reorder the terms:
5 + -24 + 6s + -3(5 + 4s) + -6 = 0
5 + -24 + 6s + (5 * -3 + 4s * -3) + -6 = 0
5 + -24 + 6s + (-15 + -12s) + -6 = 0

Reorder the terms:
5 + -24 + -15 + -6 + 6s + -12s = 0

Combine like terms: 5 + -24 = -19
-19 + -15 + -6 + 6s + -12s = 0

Combine like terms: -19 + -15 = -34
-34 + -6 + 6s + -12s = 0

Combine like terms: -34 + -6 = -40
-40 + 6s + -12s = 0

Combine like terms: 6s + -12s = -6s
-40 + -6s = 0

Solving
-40 + -6s = 0

Solving for variable 's'.

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

Add '40' to each side of the equation.
-40 + 40 + -6s = 0 + 40

Combine like terms: -40 + 40 = 0
0 + -6s = 0 + 40
-6s = 0 + 40

Combine like terms: 0 + 40 = 40
-6s = 40

Divide each side by '-6'.
s = -6.666666667

Simplifying
s = -6.666666667

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