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Simplifying -5.9(3s + 5) = 1.1(4s + -6) Reorder the terms: -5.9(5 + 3s) = 1.1(4s + -6) (5 * -5.9 + 3s * -5.9) = 1.1(4s + -6) (-29.5 + -17.7s) = 1.1(4s + -6) Reorder the terms: -29.5 + -17.7s = 1.1(-6 + 4s) -29.5 + -17.7s = (-6 * 1.1 + 4s * 1.1) -29.5 + -17.7s = (-6.6 + 4.4s) Solving -29.5 + -17.7s = -6.6 + 4.4s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-4.4s' to each side of the equation. -29.5 + -17.7s + -4.4s = -6.6 + 4.4s + -4.4s Combine like terms: -17.7s + -4.4s = -22.1s -29.5 + -22.1s = -6.6 + 4.4s + -4.4s Combine like terms: 4.4s + -4.4s = 0.0 -29.5 + -22.1s = -6.6 + 0.0 -29.5 + -22.1s = -6.6 Add '29.5' to each side of the equation. -29.5 + 29.5 + -22.1s = -6.6 + 29.5 Combine like terms: -29.5 + 29.5 = 0.0 0.0 + -22.1s = -6.6 + 29.5 -22.1s = -6.6 + 29.5 Combine like terms: -6.6 + 29.5 = 22.9 -22.1s = 22.9 Divide each side by '-22.1'. s = -1.036199095 Simplifying s = -1.036199095
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