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Simplifying -5.3(3s + 5) + -1.7(2s + -4) = 0 Reorder the terms: -5.3(5 + 3s) + -1.7(2s + -4) = 0 (5 * -5.3 + 3s * -5.3) + -1.7(2s + -4) = 0 (-26.5 + -15.9s) + -1.7(2s + -4) = 0 Reorder the terms: -26.5 + -15.9s + -1.7(-4 + 2s) = 0 -26.5 + -15.9s + (-4 * -1.7 + 2s * -1.7) = 0 -26.5 + -15.9s + (6.8 + -3.4s) = 0 Reorder the terms: -26.5 + 6.8 + -15.9s + -3.4s = 0 Combine like terms: -26.5 + 6.8 = -19.7 -19.7 + -15.9s + -3.4s = 0 Combine like terms: -15.9s + -3.4s = -19.3s -19.7 + -19.3s = 0 Solving -19.7 + -19.3s = 0 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '19.7' to each side of the equation. -19.7 + 19.7 + -19.3s = 0 + 19.7 Combine like terms: -19.7 + 19.7 = 0.0 0.0 + -19.3s = 0 + 19.7 -19.3s = 0 + 19.7 Combine like terms: 0 + 19.7 = 19.7 -19.3s = 19.7 Divide each side by '-19.3'. s = -1.020725389 Simplifying s = -1.020725389
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