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Simplifying 7(n + 1) = 5n + 13 Reorder the terms: 7(1 + n) = 5n + 13 (1 * 7 + n * 7) = 5n + 13 (7 + 7n) = 5n + 13 Reorder the terms: 7 + 7n = 13 + 5n Solving 7 + 7n = 13 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 7 + 7n + -5n = 13 + 5n + -5n Combine like terms: 7n + -5n = 2n 7 + 2n = 13 + 5n + -5n Combine like terms: 5n + -5n = 0 7 + 2n = 13 + 0 7 + 2n = 13 Add '-7' to each side of the equation. 7 + -7 + 2n = 13 + -7 Combine like terms: 7 + -7 = 0 0 + 2n = 13 + -7 2n = 13 + -7 Combine like terms: 13 + -7 = 6 2n = 6 Divide each side by '2'. n = 3 Simplifying n = 3
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