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Simplifying 5(2s + 3) + -1s = 2(3 + -4s) + 5 Reorder the terms: 5(3 + 2s) + -1s = 2(3 + -4s) + 5 (3 * 5 + 2s * 5) + -1s = 2(3 + -4s) + 5 (15 + 10s) + -1s = 2(3 + -4s) + 5 Combine like terms: 10s + -1s = 9s 15 + 9s = 2(3 + -4s) + 5 15 + 9s = (3 * 2 + -4s * 2) + 5 15 + 9s = (6 + -8s) + 5 Reorder the terms: 15 + 9s = 6 + 5 + -8s Combine like terms: 6 + 5 = 11 15 + 9s = 11 + -8s Solving 15 + 9s = 11 + -8s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '8s' to each side of the equation. 15 + 9s + 8s = 11 + -8s + 8s Combine like terms: 9s + 8s = 17s 15 + 17s = 11 + -8s + 8s Combine like terms: -8s + 8s = 0 15 + 17s = 11 + 0 15 + 17s = 11 Add '-15' to each side of the equation. 15 + -15 + 17s = 11 + -15 Combine like terms: 15 + -15 = 0 0 + 17s = 11 + -15 17s = 11 + -15 Combine like terms: 11 + -15 = -4 17s = -4 Divide each side by '17'. s = -0.2352941176 Simplifying s = -0.2352941176
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