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Simplifying -5.5(2s + 4) + -2.5(3s + -5) = 0 Reorder the terms: -5.5(4 + 2s) + -2.5(3s + -5) = 0 (4 * -5.5 + 2s * -5.5) + -2.5(3s + -5) = 0 (-22 + -11s) + -2.5(3s + -5) = 0 Reorder the terms: -22 + -11s + -2.5(-5 + 3s) = 0 -22 + -11s + (-5 * -2.5 + 3s * -2.5) = 0 -22 + -11s + (12.5 + -7.5s) = 0 Reorder the terms: -22 + 12.5 + -11s + -7.5s = 0 Combine like terms: -22 + 12.5 = -9.5 -9.5 + -11s + -7.5s = 0 Combine like terms: -11s + -7.5s = -18.5s -9.5 + -18.5s = 0 Solving -9.5 + -18.5s = 0 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '9.5' to each side of the equation. -9.5 + 9.5 + -18.5s = 0 + 9.5 Combine like terms: -9.5 + 9.5 = 0.0 0.0 + -18.5s = 0 + 9.5 -18.5s = 0 + 9.5 Combine like terms: 0 + 9.5 = 9.5 -18.5s = 9.5 Divide each side by '-18.5'. s = -0.5135135135 Simplifying s = -0.5135135135
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