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Simplifying -5.5(2s + 5) + -1.5(3s + -6) = 0 Reorder the terms: -5.5(5 + 2s) + -1.5(3s + -6) = 0 (5 * -5.5 + 2s * -5.5) + -1.5(3s + -6) = 0 (-27.5 + -11s) + -1.5(3s + -6) = 0 Reorder the terms: -27.5 + -11s + -1.5(-6 + 3s) = 0 -27.5 + -11s + (-6 * -1.5 + 3s * -1.5) = 0 -27.5 + -11s + (9 + -4.5s) = 0 Reorder the terms: -27.5 + 9 + -11s + -4.5s = 0 Combine like terms: -27.5 + 9 = -18.5 -18.5 + -11s + -4.5s = 0 Combine like terms: -11s + -4.5s = -15.5s -18.5 + -15.5s = 0 Solving -18.5 + -15.5s = 0 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '18.5' to each side of the equation. -18.5 + 18.5 + -15.5s = 0 + 18.5 Combine like terms: -18.5 + 18.5 = 0.0 0.0 + -15.5s = 0 + 18.5 -15.5s = 0 + 18.5 Combine like terms: 0 + 18.5 = 18.5 -15.5s = 18.5 Divide each side by '-15.5'. s = -1.193548387 Simplifying s = -1.193548387
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