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Simplifying 4n + -9 = (5 + 2n) Reorder the terms: -9 + 4n = (5 + 2n) Remove parenthesis around (5 + 2n) -9 + 4n = 5 + 2n Solving -9 + 4n = 5 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -9 + 4n + -2n = 5 + 2n + -2n Combine like terms: 4n + -2n = 2n -9 + 2n = 5 + 2n + -2n Combine like terms: 2n + -2n = 0 -9 + 2n = 5 + 0 -9 + 2n = 5 Add '9' to each side of the equation. -9 + 9 + 2n = 5 + 9 Combine like terms: -9 + 9 = 0 0 + 2n = 5 + 9 2n = 5 + 9 Combine like terms: 5 + 9 = 14 2n = 14 Divide each side by '2'. n = 7 Simplifying n = 7
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