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Simplifying -2(2s + -6) + -12 = -3(4s + 6) + -3 Reorder the terms: -2(-6 + 2s) + -12 = -3(4s + 6) + -3 (-6 * -2 + 2s * -2) + -12 = -3(4s + 6) + -3 (12 + -4s) + -12 = -3(4s + 6) + -3 Reorder the terms: 12 + -12 + -4s = -3(4s + 6) + -3 Combine like terms: 12 + -12 = 0 0 + -4s = -3(4s + 6) + -3 -4s = -3(4s + 6) + -3 Reorder the terms: -4s = -3(6 + 4s) + -3 -4s = (6 * -3 + 4s * -3) + -3 -4s = (-18 + -12s) + -3 Reorder the terms: -4s = -18 + -3 + -12s Combine like terms: -18 + -3 = -21 -4s = -21 + -12s Solving -4s = -21 + -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. -4s + 12s = -21 + -12s + 12s Combine like terms: -4s + 12s = 8s 8s = -21 + -12s + 12s Combine like terms: -12s + 12s = 0 8s = -21 + 0 8s = -21 Divide each side by '8'. s = -2.625 Simplifying s = -2.625
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