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Simplifying (8s + 5) + -1(3s + -9) = 3(s + 4) Reorder the terms: (5 + 8s) + -1(3s + -9) = 3(s + 4) Remove parenthesis around (5 + 8s) 5 + 8s + -1(3s + -9) = 3(s + 4) Reorder the terms: 5 + 8s + -1(-9 + 3s) = 3(s + 4) 5 + 8s + (-9 * -1 + 3s * -1) = 3(s + 4) 5 + 8s + (9 + -3s) = 3(s + 4) Reorder the terms: 5 + 9 + 8s + -3s = 3(s + 4) Combine like terms: 5 + 9 = 14 14 + 8s + -3s = 3(s + 4) Combine like terms: 8s + -3s = 5s 14 + 5s = 3(s + 4) Reorder the terms: 14 + 5s = 3(4 + s) 14 + 5s = (4 * 3 + s * 3) 14 + 5s = (12 + 3s) Solving 14 + 5s = 12 + 3s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-3s' to each side of the equation. 14 + 5s + -3s = 12 + 3s + -3s Combine like terms: 5s + -3s = 2s 14 + 2s = 12 + 3s + -3s Combine like terms: 3s + -3s = 0 14 + 2s = 12 + 0 14 + 2s = 12 Add '-14' to each side of the equation. 14 + -14 + 2s = 12 + -14 Combine like terms: 14 + -14 = 0 0 + 2s = 12 + -14 2s = 12 + -14 Combine like terms: 12 + -14 = -2 2s = -2 Divide each side by '2'. s = -1 Simplifying s = -1
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