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Simplifying s + 3(3s + 5) = 5(s + -10) + -2s Reorder the terms: s + 3(5 + 3s) = 5(s + -10) + -2s s + (5 * 3 + 3s * 3) = 5(s + -10) + -2s s + (15 + 9s) = 5(s + -10) + -2s Reorder the terms: 15 + s + 9s = 5(s + -10) + -2s Combine like terms: s + 9s = 10s 15 + 10s = 5(s + -10) + -2s Reorder the terms: 15 + 10s = 5(-10 + s) + -2s 15 + 10s = (-10 * 5 + s * 5) + -2s 15 + 10s = (-50 + 5s) + -2s Combine like terms: 5s + -2s = 3s 15 + 10s = -50 + 3s Solving 15 + 10s = -50 + 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. 15 + 10s + -3s = -50 + 3s + -3s Combine like terms: 10s + -3s = 7s 15 + 7s = -50 + 3s + -3s Combine like terms: 3s + -3s = 0 15 + 7s = -50 + 0 15 + 7s = -50 Add '-15' to each side of the equation. 15 + -15 + 7s = -50 + -15 Combine like terms: 15 + -15 = 0 0 + 7s = -50 + -15 7s = -50 + -15 Combine like terms: -50 + -15 = -65 7s = -65 Divide each side by '7'. s = -9.285714286 Simplifying s = -9.285714286
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