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Simplifying -5.1(4s + 6) + -1.9(2s + -4) = 0 Reorder the terms: -5.1(6 + 4s) + -1.9(2s + -4) = 0 (6 * -5.1 + 4s * -5.1) + -1.9(2s + -4) = 0 (-30.6 + -20.4s) + -1.9(2s + -4) = 0 Reorder the terms: -30.6 + -20.4s + -1.9(-4 + 2s) = 0 -30.6 + -20.4s + (-4 * -1.9 + 2s * -1.9) = 0 -30.6 + -20.4s + (7.6 + -3.8s) = 0 Reorder the terms: -30.6 + 7.6 + -20.4s + -3.8s = 0 Combine like terms: -30.6 + 7.6 = -23 -23 + -20.4s + -3.8s = 0 Combine like terms: -20.4s + -3.8s = -24.2s -23 + -24.2s = 0 Solving -23 + -24.2s = 0 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + -24.2s = 0 + 23 Combine like terms: -23 + 23 = 0 0 + -24.2s = 0 + 23 -24.2s = 0 + 23 Combine like terms: 0 + 23 = 23 -24.2s = 23 Divide each side by '-24.2'. s = -0.9504132231 Simplifying s = -0.9504132231
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