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Simplifying -5.2(4s + 6) + -2.8(2s + -5) = 0 Reorder the terms: -5.2(6 + 4s) + -2.8(2s + -5) = 0 (6 * -5.2 + 4s * -5.2) + -2.8(2s + -5) = 0 (-31.2 + -20.8s) + -2.8(2s + -5) = 0 Reorder the terms: -31.2 + -20.8s + -2.8(-5 + 2s) = 0 -31.2 + -20.8s + (-5 * -2.8 + 2s * -2.8) = 0 -31.2 + -20.8s + (14 + -5.6s) = 0 Reorder the terms: -31.2 + 14 + -20.8s + -5.6s = 0 Combine like terms: -31.2 + 14 = -17.2 -17.2 + -20.8s + -5.6s = 0 Combine like terms: -20.8s + -5.6s = -26.4s -17.2 + -26.4s = 0 Solving -17.2 + -26.4s = 0 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '17.2' to each side of the equation. -17.2 + 17.2 + -26.4s = 0 + 17.2 Combine like terms: -17.2 + 17.2 = 0.0 0.0 + -26.4s = 0 + 17.2 -26.4s = 0 + 17.2 Combine like terms: 0 + 17.2 = 17.2 -26.4s = 17.2 Divide each side by '-26.4'. s = -0.6515151515 Simplifying s = -0.6515151515
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