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Simplifying 6(5n + 5) = 30 + 6n Reorder the terms: 6(5 + 5n) = 30 + 6n (5 * 6 + 5n * 6) = 30 + 6n (30 + 30n) = 30 + 6n Add '-30' to each side of the equation. 30 + -30 + 30n = 30 + -30 + 6n Combine like terms: 30 + -30 = 0 0 + 30n = 30 + -30 + 6n 30n = 30 + -30 + 6n Combine like terms: 30 + -30 = 0 30n = 0 + 6n 30n = 6n Solving 30n = 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 30n + -6n = 6n + -6n Combine like terms: 30n + -6n = 24n 24n = 6n + -6n Combine like terms: 6n + -6n = 0 24n = 0 Divide each side by '24'. n = 0 Simplifying n = 0
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