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Simplifying -6.7(2s + 6) + -1.8(3s + -5) = 0 Reorder the terms: -6.7(6 + 2s) + -1.8(3s + -5) = 0 (6 * -6.7 + 2s * -6.7) + -1.8(3s + -5) = 0 (-40.2 + -13.4s) + -1.8(3s + -5) = 0 Reorder the terms: -40.2 + -13.4s + -1.8(-5 + 3s) = 0 -40.2 + -13.4s + (-5 * -1.8 + 3s * -1.8) = 0 -40.2 + -13.4s + (9 + -5.4s) = 0 Reorder the terms: -40.2 + 9 + -13.4s + -5.4s = 0 Combine like terms: -40.2 + 9 = -31.2 -31.2 + -13.4s + -5.4s = 0 Combine like terms: -13.4s + -5.4s = -18.8s -31.2 + -18.8s = 0 Solving -31.2 + -18.8s = 0 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '31.2' to each side of the equation. -31.2 + 31.2 + -18.8s = 0 + 31.2 Combine like terms: -31.2 + 31.2 = 0.0 0.0 + -18.8s = 0 + 31.2 -18.8s = 0 + 31.2 Combine like terms: 0 + 31.2 = 31.2 -18.8s = 31.2 Divide each side by '-18.8'. s = -1.659574468 Simplifying s = -1.659574468
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