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Simplifying 10(s + 2) = 5(s + 1) Reorder the terms: 10(2 + s) = 5(s + 1) (2 * 10 + s * 10) = 5(s + 1) (20 + 10s) = 5(s + 1) Reorder the terms: 20 + 10s = 5(1 + s) 20 + 10s = (1 * 5 + s * 5) 20 + 10s = (5 + 5s) Solving 20 + 10s = 5 + 5s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-5s' to each side of the equation. 20 + 10s + -5s = 5 + 5s + -5s Combine like terms: 10s + -5s = 5s 20 + 5s = 5 + 5s + -5s Combine like terms: 5s + -5s = 0 20 + 5s = 5 + 0 20 + 5s = 5 Add '-20' to each side of the equation. 20 + -20 + 5s = 5 + -20 Combine like terms: 20 + -20 = 0 0 + 5s = 5 + -20 5s = 5 + -20 Combine like terms: 5 + -20 = -15 5s = -15 Divide each side by '5'. s = -3 Simplifying s = -3
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