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Simplifying 5(s + -2) = 3(s + 13) Reorder the terms: 5(-2 + s) = 3(s + 13) (-2 * 5 + s * 5) = 3(s + 13) (-10 + 5s) = 3(s + 13) Reorder the terms: -10 + 5s = 3(13 + s) -10 + 5s = (13 * 3 + s * 3) -10 + 5s = (39 + 3s) Solving -10 + 5s = 39 + 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. -10 + 5s + -3s = 39 + 3s + -3s Combine like terms: 5s + -3s = 2s -10 + 2s = 39 + 3s + -3s Combine like terms: 3s + -3s = 0 -10 + 2s = 39 + 0 -10 + 2s = 39 Add '10' to each side of the equation. -10 + 10 + 2s = 39 + 10 Combine like terms: -10 + 10 = 0 0 + 2s = 39 + 10 2s = 39 + 10 Combine like terms: 39 + 10 = 49 2s = 49 Divide each side by '2'. s = 24.5 Simplifying s = 24.5
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