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Simplifying (2n + 5) + -1(3n + 7) + (4n + -9) = 0 Reorder the terms: (5 + 2n) + -1(3n + 7) + (4n + -9) = 0 Remove parenthesis around (5 + 2n) 5 + 2n + -1(3n + 7) + (4n + -9) = 0 Reorder the terms: 5 + 2n + -1(7 + 3n) + (4n + -9) = 0 5 + 2n + (7 * -1 + 3n * -1) + (4n + -9) = 0 5 + 2n + (-7 + -3n) + (4n + -9) = 0 Reorder the terms: 5 + 2n + -7 + -3n + (-9 + 4n) = 0 Remove parenthesis around (-9 + 4n) 5 + 2n + -7 + -3n + -9 + 4n = 0 Reorder the terms: 5 + -7 + -9 + 2n + -3n + 4n = 0 Combine like terms: 5 + -7 = -2 -2 + -9 + 2n + -3n + 4n = 0 Combine like terms: -2 + -9 = -11 -11 + 2n + -3n + 4n = 0 Combine like terms: 2n + -3n = -1n -11 + -1n + 4n = 0 Combine like terms: -1n + 4n = 3n -11 + 3n = 0 Solving -11 + 3n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 3n = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 3n = 0 + 11 3n = 0 + 11 Combine like terms: 0 + 11 = 11 3n = 11 Divide each side by '3'. n = 3.666666667 Simplifying n = 3.666666667
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