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Simplifying -5.2(3s + 6) + -2.7(2s + -5) = 0 Reorder the terms: -5.2(6 + 3s) + -2.7(2s + -5) = 0 (6 * -5.2 + 3s * -5.2) + -2.7(2s + -5) = 0 (-31.2 + -15.6s) + -2.7(2s + -5) = 0 Reorder the terms: -31.2 + -15.6s + -2.7(-5 + 2s) = 0 -31.2 + -15.6s + (-5 * -2.7 + 2s * -2.7) = 0 -31.2 + -15.6s + (13.5 + -5.4s) = 0 Reorder the terms: -31.2 + 13.5 + -15.6s + -5.4s = 0 Combine like terms: -31.2 + 13.5 = -17.7 -17.7 + -15.6s + -5.4s = 0 Combine like terms: -15.6s + -5.4s = -21s -17.7 + -21s = 0 Solving -17.7 + -21s = 0 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '17.7' to each side of the equation. -17.7 + 17.7 + -21s = 0 + 17.7 Combine like terms: -17.7 + 17.7 = 0.0 0.0 + -21s = 0 + 17.7 -21s = 0 + 17.7 Combine like terms: 0 + 17.7 = 17.7 -21s = 17.7 Divide each side by '-21'. s = -0.8428571429 Simplifying s = -0.8428571429
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