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Simplifying -5.6(3s + 5) + -2.9(4s + -6) = 0 Reorder the terms: -5.6(5 + 3s) + -2.9(4s + -6) = 0 (5 * -5.6 + 3s * -5.6) + -2.9(4s + -6) = 0 (-28 + -16.8s) + -2.9(4s + -6) = 0 Reorder the terms: -28 + -16.8s + -2.9(-6 + 4s) = 0 -28 + -16.8s + (-6 * -2.9 + 4s * -2.9) = 0 -28 + -16.8s + (17.4 + -11.6s) = 0 Reorder the terms: -28 + 17.4 + -16.8s + -11.6s = 0 Combine like terms: -28 + 17.4 = -10.6 -10.6 + -16.8s + -11.6s = 0 Combine like terms: -16.8s + -11.6s = -28.4s -10.6 + -28.4s = 0 Solving -10.6 + -28.4s = 0 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '10.6' to each side of the equation. -10.6 + 10.6 + -28.4s = 0 + 10.6 Combine like terms: -10.6 + 10.6 = 0.0 0.0 + -28.4s = 0 + 10.6 -28.4s = 0 + 10.6 Combine like terms: 0 + 10.6 = 10.6 -28.4s = 10.6 Divide each side by '-28.4'. s = -0.3732394366 Simplifying s = -0.3732394366
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