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Simplifying S + 5(3 + -1s) = 5(4s + 7) + 19 S + (3 * 5 + -1s * 5) = 5(4s + 7) + 19 S + (15 + -5s) = 5(4s + 7) + 19 Reorder the terms: 15 + S + -5s = 5(4s + 7) + 19 Reorder the terms: 15 + S + -5s = 5(7 + 4s) + 19 15 + S + -5s = (7 * 5 + 4s * 5) + 19 15 + S + -5s = (35 + 20s) + 19 Reorder the terms: 15 + S + -5s = 35 + 19 + 20s Combine like terms: 35 + 19 = 54 15 + S + -5s = 54 + 20s Solving 15 + S + -5s = 54 + 20s Solving for variable 'S'. Move all terms containing S to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + S + -15 + -5s = 54 + -15 + 20s Reorder the terms: 15 + -15 + S + -5s = 54 + -15 + 20s Combine like terms: 15 + -15 = 0 0 + S + -5s = 54 + -15 + 20s S + -5s = 54 + -15 + 20s Combine like terms: 54 + -15 = 39 S + -5s = 39 + 20s Add '5s' to each side of the equation. S + -5s + 5s = 39 + 20s + 5s Combine like terms: -5s + 5s = 0 S + 0 = 39 + 20s + 5s S = 39 + 20s + 5s Combine like terms: 20s + 5s = 25s S = 39 + 25s Simplifying S = 39 + 25s
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