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Simplifying -3(5s + -4) + -12 = -2(9s + 10) + -3 Reorder the terms: -3(-4 + 5s) + -12 = -2(9s + 10) + -3 (-4 * -3 + 5s * -3) + -12 = -2(9s + 10) + -3 (12 + -15s) + -12 = -2(9s + 10) + -3 Reorder the terms: 12 + -12 + -15s = -2(9s + 10) + -3 Combine like terms: 12 + -12 = 0 0 + -15s = -2(9s + 10) + -3 -15s = -2(9s + 10) + -3 Reorder the terms: -15s = -2(10 + 9s) + -3 -15s = (10 * -2 + 9s * -2) + -3 -15s = (-20 + -18s) + -3 Reorder the terms: -15s = -20 + -3 + -18s Combine like terms: -20 + -3 = -23 -15s = -23 + -18s Solving -15s = -23 + -18s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '18s' to each side of the equation. -15s + 18s = -23 + -18s + 18s Combine like terms: -15s + 18s = 3s 3s = -23 + -18s + 18s Combine like terms: -18s + 18s = 0 3s = -23 + 0 3s = -23 Divide each side by '3'. s = -7.666666667 Simplifying s = -7.666666667
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