2(2s-2)+12=3(s-1)-(2s+1)

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Solution for 2(2s-2)+12=3(s-1)-(2s+1) equation:


Simplifying
2(2s + -2) + 12 = 3(s + -1) + -1(2s + 1)

Reorder the terms:
2(-2 + 2s) + 12 = 3(s + -1) + -1(2s + 1)
(-2 * 2 + 2s * 2) + 12 = 3(s + -1) + -1(2s + 1)
(-4 + 4s) + 12 = 3(s + -1) + -1(2s + 1)

Reorder the terms:
-4 + 12 + 4s = 3(s + -1) + -1(2s + 1)

Combine like terms: -4 + 12 = 8
8 + 4s = 3(s + -1) + -1(2s + 1)

Reorder the terms:
8 + 4s = 3(-1 + s) + -1(2s + 1)
8 + 4s = (-1 * 3 + s * 3) + -1(2s + 1)
8 + 4s = (-3 + 3s) + -1(2s + 1)

Reorder the terms:
8 + 4s = -3 + 3s + -1(1 + 2s)
8 + 4s = -3 + 3s + (1 * -1 + 2s * -1)
8 + 4s = -3 + 3s + (-1 + -2s)

Reorder the terms:
8 + 4s = -3 + -1 + 3s + -2s

Combine like terms: -3 + -1 = -4
8 + 4s = -4 + 3s + -2s

Combine like terms: 3s + -2s = 1s
8 + 4s = -4 + 1s

Solving
8 + 4s = -4 + 1s

Solving for variable 's'.

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

Add '-1s' to each side of the equation.
8 + 4s + -1s = -4 + 1s + -1s

Combine like terms: 4s + -1s = 3s
8 + 3s = -4 + 1s + -1s

Combine like terms: 1s + -1s = 0
8 + 3s = -4 + 0
8 + 3s = -4

Add '-8' to each side of the equation.
8 + -8 + 3s = -4 + -8

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

Combine like terms: -4 + -8 = -12
3s = -12

Divide each side by '3'.
s = -4

Simplifying
s = -4

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