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Simplifying -6.9(2s + 6) + -1.3(3s + -5) = 0 Reorder the terms: -6.9(6 + 2s) + -1.3(3s + -5) = 0 (6 * -6.9 + 2s * -6.9) + -1.3(3s + -5) = 0 (-41.4 + -13.8s) + -1.3(3s + -5) = 0 Reorder the terms: -41.4 + -13.8s + -1.3(-5 + 3s) = 0 -41.4 + -13.8s + (-5 * -1.3 + 3s * -1.3) = 0 -41.4 + -13.8s + (6.5 + -3.9s) = 0 Reorder the terms: -41.4 + 6.5 + -13.8s + -3.9s = 0 Combine like terms: -41.4 + 6.5 = -34.9 -34.9 + -13.8s + -3.9s = 0 Combine like terms: -13.8s + -3.9s = -17.7s -34.9 + -17.7s = 0 Solving -34.9 + -17.7s = 0 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '34.9' to each side of the equation. -34.9 + 34.9 + -17.7s = 0 + 34.9 Combine like terms: -34.9 + 34.9 = 0.0 0.0 + -17.7s = 0 + 34.9 -17.7s = 0 + 34.9 Combine like terms: 0 + 34.9 = 34.9 -17.7s = 34.9 Divide each side by '-17.7'. s = -1.971751412 Simplifying s = -1.971751412
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