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Simplifying -5.7(2s + 5) + -1.6(3s + -6) = 0 Reorder the terms: -5.7(5 + 2s) + -1.6(3s + -6) = 0 (5 * -5.7 + 2s * -5.7) + -1.6(3s + -6) = 0 (-28.5 + -11.4s) + -1.6(3s + -6) = 0 Reorder the terms: -28.5 + -11.4s + -1.6(-6 + 3s) = 0 -28.5 + -11.4s + (-6 * -1.6 + 3s * -1.6) = 0 -28.5 + -11.4s + (9.6 + -4.8s) = 0 Reorder the terms: -28.5 + 9.6 + -11.4s + -4.8s = 0 Combine like terms: -28.5 + 9.6 = -18.9 -18.9 + -11.4s + -4.8s = 0 Combine like terms: -11.4s + -4.8s = -16.2s -18.9 + -16.2s = 0 Solving -18.9 + -16.2s = 0 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '18.9' to each side of the equation. -18.9 + 18.9 + -16.2s = 0 + 18.9 Combine like terms: -18.9 + 18.9 = 0.0 0.0 + -16.2s = 0 + 18.9 -16.2s = 0 + 18.9 Combine like terms: 0 + 18.9 = 18.9 -16.2s = 18.9 Divide each side by '-16.2'. s = -1.166666667 Simplifying s = -1.166666667
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