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Simplifying -2(5s + -1) + -2 = -3(8s + 3) + -3 Reorder the terms: -2(-1 + 5s) + -2 = -3(8s + 3) + -3 (-1 * -2 + 5s * -2) + -2 = -3(8s + 3) + -3 (2 + -10s) + -2 = -3(8s + 3) + -3 Reorder the terms: 2 + -2 + -10s = -3(8s + 3) + -3 Combine like terms: 2 + -2 = 0 0 + -10s = -3(8s + 3) + -3 -10s = -3(8s + 3) + -3 Reorder the terms: -10s = -3(3 + 8s) + -3 -10s = (3 * -3 + 8s * -3) + -3 -10s = (-9 + -24s) + -3 Reorder the terms: -10s = -9 + -3 + -24s Combine like terms: -9 + -3 = -12 -10s = -12 + -24s Solving -10s = -12 + -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 = -12 + -24s + 24s Combine like terms: -10s + 24s = 14s 14s = -12 + -24s + 24s Combine like terms: -24s + 24s = 0 14s = -12 + 0 14s = -12 Divide each side by '14'. s = -0.8571428571 Simplifying s = -0.8571428571
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