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Simplifying 5(6n + 7) = 7(n + 5) Reorder the terms: 5(7 + 6n) = 7(n + 5) (7 * 5 + 6n * 5) = 7(n + 5) (35 + 30n) = 7(n + 5) Reorder the terms: 35 + 30n = 7(5 + n) 35 + 30n = (5 * 7 + n * 7) 35 + 30n = (35 + 7n) Add '-35' to each side of the equation. 35 + -35 + 30n = 35 + -35 + 7n Combine like terms: 35 + -35 = 0 0 + 30n = 35 + -35 + 7n 30n = 35 + -35 + 7n Combine like terms: 35 + -35 = 0 30n = 0 + 7n 30n = 7n Solving 30n = 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. 30n + -7n = 7n + -7n Combine like terms: 30n + -7n = 23n 23n = 7n + -7n Combine like terms: 7n + -7n = 0 23n = 0 Divide each side by '23'. n = 0 Simplifying n = 0
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