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Simplifying 2(3s + 4) = 3(-2s + 5) Reorder the terms: 2(4 + 3s) = 3(-2s + 5) (4 * 2 + 3s * 2) = 3(-2s + 5) (8 + 6s) = 3(-2s + 5) Reorder the terms: 8 + 6s = 3(5 + -2s) 8 + 6s = (5 * 3 + -2s * 3) 8 + 6s = (15 + -6s) Solving 8 + 6s = 15 + -6s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '6s' to each side of the equation. 8 + 6s + 6s = 15 + -6s + 6s Combine like terms: 6s + 6s = 12s 8 + 12s = 15 + -6s + 6s Combine like terms: -6s + 6s = 0 8 + 12s = 15 + 0 8 + 12s = 15 Add '-8' to each side of the equation. 8 + -8 + 12s = 15 + -8 Combine like terms: 8 + -8 = 0 0 + 12s = 15 + -8 12s = 15 + -8 Combine like terms: 15 + -8 = 7 12s = 7 Divide each side by '12'. s = 0.5833333333 Simplifying s = 0.5833333333
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