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Simplifying -3(2s + -2) + -6 = -3(4s + 3) + -3 Reorder the terms: -3(-2 + 2s) + -6 = -3(4s + 3) + -3 (-2 * -3 + 2s * -3) + -6 = -3(4s + 3) + -3 (6 + -6s) + -6 = -3(4s + 3) + -3 Reorder the terms: 6 + -6 + -6s = -3(4s + 3) + -3 Combine like terms: 6 + -6 = 0 0 + -6s = -3(4s + 3) + -3 -6s = -3(4s + 3) + -3 Reorder the terms: -6s = -3(3 + 4s) + -3 -6s = (3 * -3 + 4s * -3) + -3 -6s = (-9 + -12s) + -3 Reorder the terms: -6s = -9 + -3 + -12s Combine like terms: -9 + -3 = -12 -6s = -12 + -12s Solving -6s = -12 + -12s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '12s' to each side of the equation. -6s + 12s = -12 + -12s + 12s Combine like terms: -6s + 12s = 6s 6s = -12 + -12s + 12s Combine like terms: -12s + 12s = 0 6s = -12 + 0 6s = -12 Divide each side by '6'. s = -2 Simplifying s = -2
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