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Simplifying -5.8(2s + 5) + -1.4(4s + -6) = 0 Reorder the terms: -5.8(5 + 2s) + -1.4(4s + -6) = 0 (5 * -5.8 + 2s * -5.8) + -1.4(4s + -6) = 0 (-29 + -11.6s) + -1.4(4s + -6) = 0 Reorder the terms: -29 + -11.6s + -1.4(-6 + 4s) = 0 -29 + -11.6s + (-6 * -1.4 + 4s * -1.4) = 0 -29 + -11.6s + (8.4 + -5.6s) = 0 Reorder the terms: -29 + 8.4 + -11.6s + -5.6s = 0 Combine like terms: -29 + 8.4 = -20.6 -20.6 + -11.6s + -5.6s = 0 Combine like terms: -11.6s + -5.6s = -17.2s -20.6 + -17.2s = 0 Solving -20.6 + -17.2s = 0 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '20.6' to each side of the equation. -20.6 + 20.6 + -17.2s = 0 + 20.6 Combine like terms: -20.6 + 20.6 = 0.0 0.0 + -17.2s = 0 + 20.6 -17.2s = 0 + 20.6 Combine like terms: 0 + 20.6 = 20.6 -17.2s = 20.6 Divide each side by '-17.2'. s = -1.197674419 Simplifying s = -1.197674419
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