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Simplifying -2(5s + -6) + -12 = -3(5s + 2) + -3 Reorder the terms: -2(-6 + 5s) + -12 = -3(5s + 2) + -3 (-6 * -2 + 5s * -2) + -12 = -3(5s + 2) + -3 (12 + -10s) + -12 = -3(5s + 2) + -3 Reorder the terms: 12 + -12 + -10s = -3(5s + 2) + -3 Combine like terms: 12 + -12 = 0 0 + -10s = -3(5s + 2) + -3 -10s = -3(5s + 2) + -3 Reorder the terms: -10s = -3(2 + 5s) + -3 -10s = (2 * -3 + 5s * -3) + -3 -10s = (-6 + -15s) + -3 Reorder the terms: -10s = -6 + -3 + -15s Combine like terms: -6 + -3 = -9 -10s = -9 + -15s Solving -10s = -9 + -15s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '15s' to each side of the equation. -10s + 15s = -9 + -15s + 15s Combine like terms: -10s + 15s = 5s 5s = -9 + -15s + 15s Combine like terms: -15s + 15s = 0 5s = -9 + 0 5s = -9 Divide each side by '5'. s = -1.8 Simplifying s = -1.8
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