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Simplifying 5(s + 12) = 10(3 + -1s) Reorder the terms: 5(12 + s) = 10(3 + -1s) (12 * 5 + s * 5) = 10(3 + -1s) (60 + 5s) = 10(3 + -1s) 60 + 5s = (3 * 10 + -1s * 10) 60 + 5s = (30 + -10s) Solving 60 + 5s = 30 + -10s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '10s' to each side of the equation. 60 + 5s + 10s = 30 + -10s + 10s Combine like terms: 5s + 10s = 15s 60 + 15s = 30 + -10s + 10s Combine like terms: -10s + 10s = 0 60 + 15s = 30 + 0 60 + 15s = 30 Add '-60' to each side of the equation. 60 + -60 + 15s = 30 + -60 Combine like terms: 60 + -60 = 0 0 + 15s = 30 + -60 15s = 30 + -60 Combine like terms: 30 + -60 = -30 15s = -30 Divide each side by '15'. s = -2 Simplifying s = -2
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