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Simplifying -3(4s + -4) + -12 = -2(8s + 10) + -3 Reorder the terms: -3(-4 + 4s) + -12 = -2(8s + 10) + -3 (-4 * -3 + 4s * -3) + -12 = -2(8s + 10) + -3 (12 + -12s) + -12 = -2(8s + 10) + -3 Reorder the terms: 12 + -12 + -12s = -2(8s + 10) + -3 Combine like terms: 12 + -12 = 0 0 + -12s = -2(8s + 10) + -3 -12s = -2(8s + 10) + -3 Reorder the terms: -12s = -2(10 + 8s) + -3 -12s = (10 * -2 + 8s * -2) + -3 -12s = (-20 + -16s) + -3 Reorder the terms: -12s = -20 + -3 + -16s Combine like terms: -20 + -3 = -23 -12s = -23 + -16s Solving -12s = -23 + -16s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '16s' to each side of the equation. -12s + 16s = -23 + -16s + 16s Combine like terms: -12s + 16s = 4s 4s = -23 + -16s + 16s Combine like terms: -16s + 16s = 0 4s = -23 + 0 4s = -23 Divide each side by '4'. s = -5.75 Simplifying s = -5.75
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