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Simplifying -2(5s + -6) + -12 = -3(8s + 2) + -3 Reorder the terms: -2(-6 + 5s) + -12 = -3(8s + 2) + -3 (-6 * -2 + 5s * -2) + -12 = -3(8s + 2) + -3 (12 + -10s) + -12 = -3(8s + 2) + -3 Reorder the terms: 12 + -12 + -10s = -3(8s + 2) + -3 Combine like terms: 12 + -12 = 0 0 + -10s = -3(8s + 2) + -3 -10s = -3(8s + 2) + -3 Reorder the terms: -10s = -3(2 + 8s) + -3 -10s = (2 * -3 + 8s * -3) + -3 -10s = (-6 + -24s) + -3 Reorder the terms: -10s = -6 + -3 + -24s Combine like terms: -6 + -3 = -9 -10s = -9 + -24s Solving -10s = -9 + -24s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '24s' to each side of the equation. -10s + 24s = -9 + -24s + 24s Combine like terms: -10s + 24s = 14s 14s = -9 + -24s + 24s Combine like terms: -24s + 24s = 0 14s = -9 + 0 14s = -9 Divide each side by '14'. s = -0.6428571429 Simplifying s = -0.6428571429
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