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Simplifying -2(5s + -6) + -12 = -3(6s + 4) + -5 Reorder the terms: -2(-6 + 5s) + -12 = -3(6s + 4) + -5 (-6 * -2 + 5s * -2) + -12 = -3(6s + 4) + -5 (12 + -10s) + -12 = -3(6s + 4) + -5 Reorder the terms: 12 + -12 + -10s = -3(6s + 4) + -5 Combine like terms: 12 + -12 = 0 0 + -10s = -3(6s + 4) + -5 -10s = -3(6s + 4) + -5 Reorder the terms: -10s = -3(4 + 6s) + -5 -10s = (4 * -3 + 6s * -3) + -5 -10s = (-12 + -18s) + -5 Reorder the terms: -10s = -12 + -5 + -18s Combine like terms: -12 + -5 = -17 -10s = -17 + -18s Solving -10s = -17 + -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. -10s + 18s = -17 + -18s + 18s Combine like terms: -10s + 18s = 8s 8s = -17 + -18s + 18s Combine like terms: -18s + 18s = 0 8s = -17 + 0 8s = -17 Divide each side by '8'. s = -2.125 Simplifying s = -2.125
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