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Simplifying 5(7n + 1) = 5n + 35 Reorder the terms: 5(1 + 7n) = 5n + 35 (1 * 5 + 7n * 5) = 5n + 35 (5 + 35n) = 5n + 35 Reorder the terms: 5 + 35n = 35 + 5n Solving 5 + 35n = 35 + 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. 5 + 35n + -5n = 35 + 5n + -5n Combine like terms: 35n + -5n = 30n 5 + 30n = 35 + 5n + -5n Combine like terms: 5n + -5n = 0 5 + 30n = 35 + 0 5 + 30n = 35 Add '-5' to each side of the equation. 5 + -5 + 30n = 35 + -5 Combine like terms: 5 + -5 = 0 0 + 30n = 35 + -5 30n = 35 + -5 Combine like terms: 35 + -5 = 30 30n = 30 Divide each side by '30'. n = 1 Simplifying n = 1
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