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Simplifying -6.3(4s + 6) + -2.9(2s + -5) = 0 Reorder the terms: -6.3(6 + 4s) + -2.9(2s + -5) = 0 (6 * -6.3 + 4s * -6.3) + -2.9(2s + -5) = 0 (-37.8 + -25.2s) + -2.9(2s + -5) = 0 Reorder the terms: -37.8 + -25.2s + -2.9(-5 + 2s) = 0 -37.8 + -25.2s + (-5 * -2.9 + 2s * -2.9) = 0 -37.8 + -25.2s + (14.5 + -5.8s) = 0 Reorder the terms: -37.8 + 14.5 + -25.2s + -5.8s = 0 Combine like terms: -37.8 + 14.5 = -23.3 -23.3 + -25.2s + -5.8s = 0 Combine like terms: -25.2s + -5.8s = -31s -23.3 + -31s = 0 Solving -23.3 + -31s = 0 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '23.3' to each side of the equation. -23.3 + 23.3 + -31s = 0 + 23.3 Combine like terms: -23.3 + 23.3 = 0.0 0.0 + -31s = 0 + 23.3 -31s = 0 + 23.3 Combine like terms: 0 + 23.3 = 23.3 -31s = 23.3 Divide each side by '-31'. s = -0.7516129032 Simplifying s = -0.7516129032
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