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Simplifying -2(5s + -6) + -12 = -3(9s + 6) + -5 Reorder the terms: -2(-6 + 5s) + -12 = -3(9s + 6) + -5 (-6 * -2 + 5s * -2) + -12 = -3(9s + 6) + -5 (12 + -10s) + -12 = -3(9s + 6) + -5 Reorder the terms: 12 + -12 + -10s = -3(9s + 6) + -5 Combine like terms: 12 + -12 = 0 0 + -10s = -3(9s + 6) + -5 -10s = -3(9s + 6) + -5 Reorder the terms: -10s = -3(6 + 9s) + -5 -10s = (6 * -3 + 9s * -3) + -5 -10s = (-18 + -27s) + -5 Reorder the terms: -10s = -18 + -5 + -27s Combine like terms: -18 + -5 = -23 -10s = -23 + -27s Solving -10s = -23 + -27s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '27s' to each side of the equation. -10s + 27s = -23 + -27s + 27s Combine like terms: -10s + 27s = 17s 17s = -23 + -27s + 27s Combine like terms: -27s + 27s = 0 17s = -23 + 0 17s = -23 Divide each side by '17'. s = -1.352941176 Simplifying s = -1.352941176
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