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Simplifying -5.9(2s + 5) + -1.5(3s + -6) = 0 Reorder the terms: -5.9(5 + 2s) + -1.5(3s + -6) = 0 (5 * -5.9 + 2s * -5.9) + -1.5(3s + -6) = 0 (-29.5 + -11.8s) + -1.5(3s + -6) = 0 Reorder the terms: -29.5 + -11.8s + -1.5(-6 + 3s) = 0 -29.5 + -11.8s + (-6 * -1.5 + 3s * -1.5) = 0 -29.5 + -11.8s + (9 + -4.5s) = 0 Reorder the terms: -29.5 + 9 + -11.8s + -4.5s = 0 Combine like terms: -29.5 + 9 = -20.5 -20.5 + -11.8s + -4.5s = 0 Combine like terms: -11.8s + -4.5s = -16.3s -20.5 + -16.3s = 0 Solving -20.5 + -16.3s = 0 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '20.5' to each side of the equation. -20.5 + 20.5 + -16.3s = 0 + 20.5 Combine like terms: -20.5 + 20.5 = 0.0 0.0 + -16.3s = 0 + 20.5 -16.3s = 0 + 20.5 Combine like terms: 0 + 20.5 = 20.5 -16.3s = 20.5 Divide each side by '-16.3'. s = -1.257668712 Simplifying s = -1.257668712
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