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Simplifying 3 + 5(9 + 2n) = 48 + 5n 3 + (9 * 5 + 2n * 5) = 48 + 5n 3 + (45 + 10n) = 48 + 5n Combine like terms: 3 + 45 = 48 48 + 10n = 48 + 5n Add '-48' to each side of the equation. 48 + -48 + 10n = 48 + -48 + 5n Combine like terms: 48 + -48 = 0 0 + 10n = 48 + -48 + 5n 10n = 48 + -48 + 5n Combine like terms: 48 + -48 = 0 10n = 0 + 5n 10n = 5n Solving 10n = 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 10n + -5n = 5n + -5n Combine like terms: 10n + -5n = 5n 5n = 5n + -5n Combine like terms: 5n + -5n = 0 5n = 0 Divide each side by '5'. n = 0 Simplifying n = 0
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