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Simplifying 5(2s + -4) + 2(s + -9) = 0 Reorder the terms: 5(-4 + 2s) + 2(s + -9) = 0 (-4 * 5 + 2s * 5) + 2(s + -9) = 0 (-20 + 10s) + 2(s + -9) = 0 Reorder the terms: -20 + 10s + 2(-9 + s) = 0 -20 + 10s + (-9 * 2 + s * 2) = 0 -20 + 10s + (-18 + 2s) = 0 Reorder the terms: -20 + -18 + 10s + 2s = 0 Combine like terms: -20 + -18 = -38 -38 + 10s + 2s = 0 Combine like terms: 10s + 2s = 12s -38 + 12s = 0 Solving -38 + 12s = 0 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 38 + 12s = 0 + 38 Combine like terms: -38 + 38 = 0 0 + 12s = 0 + 38 12s = 0 + 38 Combine like terms: 0 + 38 = 38 12s = 38 Divide each side by '12'. s = 3.166666667 Simplifying s = 3.166666667
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