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Simplifying -5(-8s + -3) + 2(5s + 4) = 0 Reorder the terms: -5(-3 + -8s) + 2(5s + 4) = 0 (-3 * -5 + -8s * -5) + 2(5s + 4) = 0 (15 + 40s) + 2(5s + 4) = 0 Reorder the terms: 15 + 40s + 2(4 + 5s) = 0 15 + 40s + (4 * 2 + 5s * 2) = 0 15 + 40s + (8 + 10s) = 0 Reorder the terms: 15 + 8 + 40s + 10s = 0 Combine like terms: 15 + 8 = 23 23 + 40s + 10s = 0 Combine like terms: 40s + 10s = 50s 23 + 50s = 0 Solving 23 + 50s = 0 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 50s = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 50s = 0 + -23 50s = 0 + -23 Combine like terms: 0 + -23 = -23 50s = -23 Divide each side by '50'. s = -0.46 Simplifying s = -0.46
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