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Simplifying -6.9(4s + 6) + -1.5(2s + -4) = 0 Reorder the terms: -6.9(6 + 4s) + -1.5(2s + -4) = 0 (6 * -6.9 + 4s * -6.9) + -1.5(2s + -4) = 0 (-41.4 + -27.6s) + -1.5(2s + -4) = 0 Reorder the terms: -41.4 + -27.6s + -1.5(-4 + 2s) = 0 -41.4 + -27.6s + (-4 * -1.5 + 2s * -1.5) = 0 -41.4 + -27.6s + (6 + -3s) = 0 Reorder the terms: -41.4 + 6 + -27.6s + -3s = 0 Combine like terms: -41.4 + 6 = -35.4 -35.4 + -27.6s + -3s = 0 Combine like terms: -27.6s + -3s = -30.6s -35.4 + -30.6s = 0 Solving -35.4 + -30.6s = 0 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '35.4' to each side of the equation. -35.4 + 35.4 + -30.6s = 0 + 35.4 Combine like terms: -35.4 + 35.4 = 0.0 0.0 + -30.6s = 0 + 35.4 -30.6s = 0 + 35.4 Combine like terms: 0 + 35.4 = 35.4 -30.6s = 35.4 Divide each side by '-30.6'. s = -1.156862745 Simplifying s = -1.156862745
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