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Simplifying -5.4(3s + 5) + -1.8(4s + -6) = 0 Reorder the terms: -5.4(5 + 3s) + -1.8(4s + -6) = 0 (5 * -5.4 + 3s * -5.4) + -1.8(4s + -6) = 0 (-27 + -16.2s) + -1.8(4s + -6) = 0 Reorder the terms: -27 + -16.2s + -1.8(-6 + 4s) = 0 -27 + -16.2s + (-6 * -1.8 + 4s * -1.8) = 0 -27 + -16.2s + (10.8 + -7.2s) = 0 Reorder the terms: -27 + 10.8 + -16.2s + -7.2s = 0 Combine like terms: -27 + 10.8 = -16.2 -16.2 + -16.2s + -7.2s = 0 Combine like terms: -16.2s + -7.2s = -23.4s -16.2 + -23.4s = 0 Solving -16.2 + -23.4s = 0 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '16.2' to each side of the equation. -16.2 + 16.2 + -23.4s = 0 + 16.2 Combine like terms: -16.2 + 16.2 = 0.0 0.0 + -23.4s = 0 + 16.2 -23.4s = 0 + 16.2 Combine like terms: 0 + 16.2 = 16.2 -23.4s = 16.2 Divide each side by '-23.4'. s = -0.6923076923 Simplifying s = -0.6923076923
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