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Simplifying -5.7(3s + 5) + -2.9(2s + -4) = 0 Reorder the terms: -5.7(5 + 3s) + -2.9(2s + -4) = 0 (5 * -5.7 + 3s * -5.7) + -2.9(2s + -4) = 0 (-28.5 + -17.1s) + -2.9(2s + -4) = 0 Reorder the terms: -28.5 + -17.1s + -2.9(-4 + 2s) = 0 -28.5 + -17.1s + (-4 * -2.9 + 2s * -2.9) = 0 -28.5 + -17.1s + (11.6 + -5.8s) = 0 Reorder the terms: -28.5 + 11.6 + -17.1s + -5.8s = 0 Combine like terms: -28.5 + 11.6 = -16.9 -16.9 + -17.1s + -5.8s = 0 Combine like terms: -17.1s + -5.8s = -22.9s -16.9 + -22.9s = 0 Solving -16.9 + -22.9s = 0 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '16.9' to each side of the equation. -16.9 + 16.9 + -22.9s = 0 + 16.9 Combine like terms: -16.9 + 16.9 = 0.0 0.0 + -22.9s = 0 + 16.9 -22.9s = 0 + 16.9 Combine like terms: 0 + 16.9 = 16.9 -22.9s = 16.9 Divide each side by '-22.9'. s = -0.7379912664 Simplifying s = -0.7379912664
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