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Simplifying (7 + 5n) + 6(1 + 4n) = 13 Remove parenthesis around (7 + 5n) 7 + 5n + 6(1 + 4n) = 13 7 + 5n + (1 * 6 + 4n * 6) = 13 7 + 5n + (6 + 24n) = 13 Reorder the terms: 7 + 6 + 5n + 24n = 13 Combine like terms: 7 + 6 = 13 13 + 5n + 24n = 13 Combine like terms: 5n + 24n = 29n 13 + 29n = 13 Add '-13' to each side of the equation. 13 + -13 + 29n = 13 + -13 Combine like terms: 13 + -13 = 0 0 + 29n = 13 + -13 29n = 13 + -13 Combine like terms: 13 + -13 = 0 29n = 0 Solving 29n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Divide each side by '29'. n = 0 Simplifying n = 0
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