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Simplifying -2(5s + -6) + -12 = -2(8s + 5) + -3 Reorder the terms: -2(-6 + 5s) + -12 = -2(8s + 5) + -3 (-6 * -2 + 5s * -2) + -12 = -2(8s + 5) + -3 (12 + -10s) + -12 = -2(8s + 5) + -3 Reorder the terms: 12 + -12 + -10s = -2(8s + 5) + -3 Combine like terms: 12 + -12 = 0 0 + -10s = -2(8s + 5) + -3 -10s = -2(8s + 5) + -3 Reorder the terms: -10s = -2(5 + 8s) + -3 -10s = (5 * -2 + 8s * -2) + -3 -10s = (-10 + -16s) + -3 Reorder the terms: -10s = -10 + -3 + -16s Combine like terms: -10 + -3 = -13 -10s = -13 + -16s Solving -10s = -13 + -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. -10s + 16s = -13 + -16s + 16s Combine like terms: -10s + 16s = 6s 6s = -13 + -16s + 16s Combine like terms: -16s + 16s = 0 6s = -13 + 0 6s = -13 Divide each side by '6'. s = -2.166666667 Simplifying s = -2.166666667
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