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Simplifying 5(2n + 10) = 30n Reorder the terms: 5(10 + 2n) = 30n (10 * 5 + 2n * 5) = 30n (50 + 10n) = 30n Solving 50 + 10n = 30n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-30n' to each side of the equation. 50 + 10n + -30n = 30n + -30n Combine like terms: 10n + -30n = -20n 50 + -20n = 30n + -30n Combine like terms: 30n + -30n = 0 50 + -20n = 0 Add '-50' to each side of the equation. 50 + -50 + -20n = 0 + -50 Combine like terms: 50 + -50 = 0 0 + -20n = 0 + -50 -20n = 0 + -50 Combine like terms: 0 + -50 = -50 -20n = -50 Divide each side by '-20'. n = 2.5 Simplifying n = 2.5
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