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Simplifying 7(7n + 1) = 7 + 5n Reorder the terms: 7(1 + 7n) = 7 + 5n (1 * 7 + 7n * 7) = 7 + 5n (7 + 49n) = 7 + 5n Add '-7' to each side of the equation. 7 + -7 + 49n = 7 + -7 + 5n Combine like terms: 7 + -7 = 0 0 + 49n = 7 + -7 + 5n 49n = 7 + -7 + 5n Combine like terms: 7 + -7 = 0 49n = 0 + 5n 49n = 5n Solving 49n = 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. 49n + -5n = 5n + -5n Combine like terms: 49n + -5n = 44n 44n = 5n + -5n Combine like terms: 5n + -5n = 0 44n = 0 Divide each side by '44'. n = 0 Simplifying n = 0
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