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Simplifying 18(5n + 13) = 24(2n + 15) Reorder the terms: 18(13 + 5n) = 24(2n + 15) (13 * 18 + 5n * 18) = 24(2n + 15) (234 + 90n) = 24(2n + 15) Reorder the terms: 234 + 90n = 24(15 + 2n) 234 + 90n = (15 * 24 + 2n * 24) 234 + 90n = (360 + 48n) Solving 234 + 90n = 360 + 48n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-48n' to each side of the equation. 234 + 90n + -48n = 360 + 48n + -48n Combine like terms: 90n + -48n = 42n 234 + 42n = 360 + 48n + -48n Combine like terms: 48n + -48n = 0 234 + 42n = 360 + 0 234 + 42n = 360 Add '-234' to each side of the equation. 234 + -234 + 42n = 360 + -234 Combine like terms: 234 + -234 = 0 0 + 42n = 360 + -234 42n = 360 + -234 Combine like terms: 360 + -234 = 126 42n = 126 Divide each side by '42'. n = 3 Simplifying n = 3
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