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Simplifying -2.5(2s + -5) + -3(4.5s + -5.2) = 0 Reorder the terms: -2.5(-5 + 2s) + -3(4.5s + -5.2) = 0 (-5 * -2.5 + 2s * -2.5) + -3(4.5s + -5.2) = 0 (12.5 + -5s) + -3(4.5s + -5.2) = 0 Reorder the terms: 12.5 + -5s + -3(-5.2 + 4.5s) = 0 12.5 + -5s + (-5.2 * -3 + 4.5s * -3) = 0 12.5 + -5s + (15.6 + -13.5s) = 0 Reorder the terms: 12.5 + 15.6 + -5s + -13.5s = 0 Combine like terms: 12.5 + 15.6 = 28.1 28.1 + -5s + -13.5s = 0 Combine like terms: -5s + -13.5s = -18.5s 28.1 + -18.5s = 0 Solving 28.1 + -18.5s = 0 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-28.1' to each side of the equation. 28.1 + -28.1 + -18.5s = 0 + -28.1 Combine like terms: 28.1 + -28.1 = 0.0 0.0 + -18.5s = 0 + -28.1 -18.5s = 0 + -28.1 Combine like terms: 0 + -28.1 = -28.1 -18.5s = -28.1 Divide each side by '-18.5'. s = 1.518918919 Simplifying s = 1.518918919
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