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Simplifying (2n + 9) + (5n + -4) = 6n + 9 Reorder the terms: (9 + 2n) + (5n + -4) = 6n + 9 Remove parenthesis around (9 + 2n) 9 + 2n + (5n + -4) = 6n + 9 Reorder the terms: 9 + 2n + (-4 + 5n) = 6n + 9 Remove parenthesis around (-4 + 5n) 9 + 2n + -4 + 5n = 6n + 9 Reorder the terms: 9 + -4 + 2n + 5n = 6n + 9 Combine like terms: 9 + -4 = 5 5 + 2n + 5n = 6n + 9 Combine like terms: 2n + 5n = 7n 5 + 7n = 6n + 9 Reorder the terms: 5 + 7n = 9 + 6n Solving 5 + 7n = 9 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 5 + 7n + -6n = 9 + 6n + -6n Combine like terms: 7n + -6n = 1n 5 + 1n = 9 + 6n + -6n Combine like terms: 6n + -6n = 0 5 + 1n = 9 + 0 5 + 1n = 9 Add '-5' to each side of the equation. 5 + -5 + 1n = 9 + -5 Combine like terms: 5 + -5 = 0 0 + 1n = 9 + -5 1n = 9 + -5 Combine like terms: 9 + -5 = 4 1n = 4 Divide each side by '1'. n = 4 Simplifying n = 4
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