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Simplifying -2(5s + -5) + -10 = 3(7s + 7) + -3 Reorder the terms: -2(-5 + 5s) + -10 = 3(7s + 7) + -3 (-5 * -2 + 5s * -2) + -10 = 3(7s + 7) + -3 (10 + -10s) + -10 = 3(7s + 7) + -3 Reorder the terms: 10 + -10 + -10s = 3(7s + 7) + -3 Combine like terms: 10 + -10 = 0 0 + -10s = 3(7s + 7) + -3 -10s = 3(7s + 7) + -3 Reorder the terms: -10s = 3(7 + 7s) + -3 -10s = (7 * 3 + 7s * 3) + -3 -10s = (21 + 21s) + -3 Reorder the terms: -10s = 21 + -3 + 21s Combine like terms: 21 + -3 = 18 -10s = 18 + 21s Solving -10s = 18 + 21s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-21s' to each side of the equation. -10s + -21s = 18 + 21s + -21s Combine like terms: -10s + -21s = -31s -31s = 18 + 21s + -21s Combine like terms: 21s + -21s = 0 -31s = 18 + 0 -31s = 18 Divide each side by '-31'. s = -0.5806451613 Simplifying s = -0.5806451613
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