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Simplifying 5(3n + 1) = 16 + 4n Reorder the terms: 5(1 + 3n) = 16 + 4n (1 * 5 + 3n * 5) = 16 + 4n (5 + 15n) = 16 + 4n Solving 5 + 15n = 16 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 5 + 15n + -4n = 16 + 4n + -4n Combine like terms: 15n + -4n = 11n 5 + 11n = 16 + 4n + -4n Combine like terms: 4n + -4n = 0 5 + 11n = 16 + 0 5 + 11n = 16 Add '-5' to each side of the equation. 5 + -5 + 11n = 16 + -5 Combine like terms: 5 + -5 = 0 0 + 11n = 16 + -5 11n = 16 + -5 Combine like terms: 16 + -5 = 11 11n = 11 Divide each side by '11'. n = 1 Simplifying n = 1
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