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Simplifying -5.4(3s + 6) + -2.5(2s + -5) = 0 Reorder the terms: -5.4(6 + 3s) + -2.5(2s + -5) = 0 (6 * -5.4 + 3s * -5.4) + -2.5(2s + -5) = 0 (-32.4 + -16.2s) + -2.5(2s + -5) = 0 Reorder the terms: -32.4 + -16.2s + -2.5(-5 + 2s) = 0 -32.4 + -16.2s + (-5 * -2.5 + 2s * -2.5) = 0 -32.4 + -16.2s + (12.5 + -5s) = 0 Reorder the terms: -32.4 + 12.5 + -16.2s + -5s = 0 Combine like terms: -32.4 + 12.5 = -19.9 -19.9 + -16.2s + -5s = 0 Combine like terms: -16.2s + -5s = -21.2s -19.9 + -21.2s = 0 Solving -19.9 + -21.2s = 0 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '19.9' to each side of the equation. -19.9 + 19.9 + -21.2s = 0 + 19.9 Combine like terms: -19.9 + 19.9 = 0.0 0.0 + -21.2s = 0 + 19.9 -21.2s = 0 + 19.9 Combine like terms: 0 + 19.9 = 19.9 -21.2s = 19.9 Divide each side by '-21.2'. s = -0.9386792453 Simplifying s = -0.9386792453
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