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Simplifying -2(4s + -6) + -12 = -3(8s + 7) + -3 Reorder the terms: -2(-6 + 4s) + -12 = -3(8s + 7) + -3 (-6 * -2 + 4s * -2) + -12 = -3(8s + 7) + -3 (12 + -8s) + -12 = -3(8s + 7) + -3 Reorder the terms: 12 + -12 + -8s = -3(8s + 7) + -3 Combine like terms: 12 + -12 = 0 0 + -8s = -3(8s + 7) + -3 -8s = -3(8s + 7) + -3 Reorder the terms: -8s = -3(7 + 8s) + -3 -8s = (7 * -3 + 8s * -3) + -3 -8s = (-21 + -24s) + -3 Reorder the terms: -8s = -21 + -3 + -24s Combine like terms: -21 + -3 = -24 -8s = -24 + -24s Solving -8s = -24 + -24s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '24s' to each side of the equation. -8s + 24s = -24 + -24s + 24s Combine like terms: -8s + 24s = 16s 16s = -24 + -24s + 24s Combine like terms: -24s + 24s = 0 16s = -24 + 0 16s = -24 Divide each side by '16'. s = -1.5 Simplifying s = -1.5
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