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Simplifying 5(2n + 3) = 75 Reorder the terms: 5(3 + 2n) = 75 (3 * 5 + 2n * 5) = 75 (15 + 10n) = 75 Solving 15 + 10n = 75 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 10n = 75 + -15 Combine like terms: 15 + -15 = 0 0 + 10n = 75 + -15 10n = 75 + -15 Combine like terms: 75 + -15 = 60 10n = 60 Divide each side by '10'. n = 6 Simplifying n = 6
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