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Simplifying -5.3(2s + 5) + -2.3(4s + -6) = 0 Reorder the terms: -5.3(5 + 2s) + -2.3(4s + -6) = 0 (5 * -5.3 + 2s * -5.3) + -2.3(4s + -6) = 0 (-26.5 + -10.6s) + -2.3(4s + -6) = 0 Reorder the terms: -26.5 + -10.6s + -2.3(-6 + 4s) = 0 -26.5 + -10.6s + (-6 * -2.3 + 4s * -2.3) = 0 -26.5 + -10.6s + (13.8 + -9.2s) = 0 Reorder the terms: -26.5 + 13.8 + -10.6s + -9.2s = 0 Combine like terms: -26.5 + 13.8 = -12.7 -12.7 + -10.6s + -9.2s = 0 Combine like terms: -10.6s + -9.2s = -19.8s -12.7 + -19.8s = 0 Solving -12.7 + -19.8s = 0 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '12.7' to each side of the equation. -12.7 + 12.7 + -19.8s = 0 + 12.7 Combine like terms: -12.7 + 12.7 = 0.0 0.0 + -19.8s = 0 + 12.7 -19.8s = 0 + 12.7 Combine like terms: 0 + 12.7 = 12.7 -19.8s = 12.7 Divide each side by '-19.8'. s = -0.6414141414 Simplifying s = -0.6414141414
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