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Simplifying -5.8(4s + 6) + -2.4(3s + -5) = 0 Reorder the terms: -5.8(6 + 4s) + -2.4(3s + -5) = 0 (6 * -5.8 + 4s * -5.8) + -2.4(3s + -5) = 0 (-34.8 + -23.2s) + -2.4(3s + -5) = 0 Reorder the terms: -34.8 + -23.2s + -2.4(-5 + 3s) = 0 -34.8 + -23.2s + (-5 * -2.4 + 3s * -2.4) = 0 -34.8 + -23.2s + (12 + -7.2s) = 0 Reorder the terms: -34.8 + 12 + -23.2s + -7.2s = 0 Combine like terms: -34.8 + 12 = -22.8 -22.8 + -23.2s + -7.2s = 0 Combine like terms: -23.2s + -7.2s = -30.4s -22.8 + -30.4s = 0 Solving -22.8 + -30.4s = 0 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '22.8' to each side of the equation. -22.8 + 22.8 + -30.4s = 0 + 22.8 Combine like terms: -22.8 + 22.8 = 0.0 0.0 + -30.4s = 0 + 22.8 -30.4s = 0 + 22.8 Combine like terms: 0 + 22.8 = 22.8 -30.4s = 22.8 Divide each side by '-30.4'. s = -0.75 Simplifying s = -0.75
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