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Simplifying 3(n + 1) = n + 53 Reorder the terms: 3(1 + n) = n + 53 (1 * 3 + n * 3) = n + 53 (3 + 3n) = n + 53 Reorder the terms: 3 + 3n = 53 + n Solving 3 + 3n = 53 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 3 + 3n + -1n = 53 + n + -1n Combine like terms: 3n + -1n = 2n 3 + 2n = 53 + n + -1n Combine like terms: n + -1n = 0 3 + 2n = 53 + 0 3 + 2n = 53 Add '-3' to each side of the equation. 3 + -3 + 2n = 53 + -3 Combine like terms: 3 + -3 = 0 0 + 2n = 53 + -3 2n = 53 + -3 Combine like terms: 53 + -3 = 50 2n = 50 Divide each side by '2'. n = 25 Simplifying n = 25
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