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Simplifying -6.5(4s + 6) + -1.5(2s + -5) = 0 Reorder the terms: -6.5(6 + 4s) + -1.5(2s + -5) = 0 (6 * -6.5 + 4s * -6.5) + -1.5(2s + -5) = 0 (-39 + -26s) + -1.5(2s + -5) = 0 Reorder the terms: -39 + -26s + -1.5(-5 + 2s) = 0 -39 + -26s + (-5 * -1.5 + 2s * -1.5) = 0 -39 + -26s + (7.5 + -3s) = 0 Reorder the terms: -39 + 7.5 + -26s + -3s = 0 Combine like terms: -39 + 7.5 = -31.5 -31.5 + -26s + -3s = 0 Combine like terms: -26s + -3s = -29s -31.5 + -29s = 0 Solving -31.5 + -29s = 0 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '31.5' to each side of the equation. -31.5 + 31.5 + -29s = 0 + 31.5 Combine like terms: -31.5 + 31.5 = 0.0 0.0 + -29s = 0 + 31.5 -29s = 0 + 31.5 Combine like terms: 0 + 31.5 = 31.5 -29s = 31.5 Divide each side by '-29'. s = -1.086206897 Simplifying s = -1.086206897
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