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Simplifying 3(2s + 4) + 5(-3s + 2) = 0 Reorder the terms: 3(4 + 2s) + 5(-3s + 2) = 0 (4 * 3 + 2s * 3) + 5(-3s + 2) = 0 (12 + 6s) + 5(-3s + 2) = 0 Reorder the terms: 12 + 6s + 5(2 + -3s) = 0 12 + 6s + (2 * 5 + -3s * 5) = 0 12 + 6s + (10 + -15s) = 0 Reorder the terms: 12 + 10 + 6s + -15s = 0 Combine like terms: 12 + 10 = 22 22 + 6s + -15s = 0 Combine like terms: 6s + -15s = -9s 22 + -9s = 0 Solving 22 + -9s = 0 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -9s = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -9s = 0 + -22 -9s = 0 + -22 Combine like terms: 0 + -22 = -22 -9s = -22 Divide each side by '-9'. s = 2.444444444 Simplifying s = 2.444444444
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