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Simplifying (5n + 20) = (4n + 34) Reorder the terms: (20 + 5n) = (4n + 34) Remove parenthesis around (20 + 5n) 20 + 5n = (4n + 34) Reorder the terms: 20 + 5n = (34 + 4n) Remove parenthesis around (34 + 4n) 20 + 5n = 34 + 4n Solving 20 + 5n = 34 + 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. 20 + 5n + -4n = 34 + 4n + -4n Combine like terms: 5n + -4n = 1n 20 + 1n = 34 + 4n + -4n Combine like terms: 4n + -4n = 0 20 + 1n = 34 + 0 20 + 1n = 34 Add '-20' to each side of the equation. 20 + -20 + 1n = 34 + -20 Combine like terms: 20 + -20 = 0 0 + 1n = 34 + -20 1n = 34 + -20 Combine like terms: 34 + -20 = 14 1n = 14 Divide each side by '1'. n = 14 Simplifying n = 14
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