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Simplifying 15(n + 3) = 2(15 + 5n) Reorder the terms: 15(3 + n) = 2(15 + 5n) (3 * 15 + n * 15) = 2(15 + 5n) (45 + 15n) = 2(15 + 5n) 45 + 15n = (15 * 2 + 5n * 2) 45 + 15n = (30 + 10n) Solving 45 + 15n = 30 + 10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-10n' to each side of the equation. 45 + 15n + -10n = 30 + 10n + -10n Combine like terms: 15n + -10n = 5n 45 + 5n = 30 + 10n + -10n Combine like terms: 10n + -10n = 0 45 + 5n = 30 + 0 45 + 5n = 30 Add '-45' to each side of the equation. 45 + -45 + 5n = 30 + -45 Combine like terms: 45 + -45 = 0 0 + 5n = 30 + -45 5n = 30 + -45 Combine like terms: 30 + -45 = -15 5n = -15 Divide each side by '5'. n = -3 Simplifying n = -3
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