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Simplifying 5(n + 4) = 3(n + 22) Reorder the terms: 5(4 + n) = 3(n + 22) (4 * 5 + n * 5) = 3(n + 22) (20 + 5n) = 3(n + 22) Reorder the terms: 20 + 5n = 3(22 + n) 20 + 5n = (22 * 3 + n * 3) 20 + 5n = (66 + 3n) Solving 20 + 5n = 66 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 20 + 5n + -3n = 66 + 3n + -3n Combine like terms: 5n + -3n = 2n 20 + 2n = 66 + 3n + -3n Combine like terms: 3n + -3n = 0 20 + 2n = 66 + 0 20 + 2n = 66 Add '-20' to each side of the equation. 20 + -20 + 2n = 66 + -20 Combine like terms: 20 + -20 = 0 0 + 2n = 66 + -20 2n = 66 + -20 Combine like terms: 66 + -20 = 46 2n = 46 Divide each side by '2'. n = 23 Simplifying n = 23
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