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Simplifying -6.4(3s + 6) + -1.9(2s + -4) = 0 Reorder the terms: -6.4(6 + 3s) + -1.9(2s + -4) = 0 (6 * -6.4 + 3s * -6.4) + -1.9(2s + -4) = 0 (-38.4 + -19.2s) + -1.9(2s + -4) = 0 Reorder the terms: -38.4 + -19.2s + -1.9(-4 + 2s) = 0 -38.4 + -19.2s + (-4 * -1.9 + 2s * -1.9) = 0 -38.4 + -19.2s + (7.6 + -3.8s) = 0 Reorder the terms: -38.4 + 7.6 + -19.2s + -3.8s = 0 Combine like terms: -38.4 + 7.6 = -30.8 -30.8 + -19.2s + -3.8s = 0 Combine like terms: -19.2s + -3.8s = -23s -30.8 + -23s = 0 Solving -30.8 + -23s = 0 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '30.8' to each side of the equation. -30.8 + 30.8 + -23s = 0 + 30.8 Combine like terms: -30.8 + 30.8 = 0.0 0.0 + -23s = 0 + 30.8 -23s = 0 + 30.8 Combine like terms: 0 + 30.8 = 30.8 -23s = 30.8 Divide each side by '-23'. s = -1.339130435 Simplifying s = -1.339130435
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