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Simplifying 13n + 5 = 3n + 45 Reorder the terms: 5 + 13n = 3n + 45 Reorder the terms: 5 + 13n = 45 + 3n Solving 5 + 13n = 45 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 5 + 13n + -3n = 45 + 3n + -3n Combine like terms: 13n + -3n = 10n 5 + 10n = 45 + 3n + -3n Combine like terms: 3n + -3n = 0 5 + 10n = 45 + 0 5 + 10n = 45 Add '-5' to each side of the equation. 5 + -5 + 10n = 45 + -5 Combine like terms: 5 + -5 = 0 0 + 10n = 45 + -5 10n = 45 + -5 Combine like terms: 45 + -5 = 40 10n = 40 Divide each side by '10'. n = 4 Simplifying n = 4
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