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Simplifying 2n + 7 + -5 + 9 = -2n + 7 Reorder the terms: 7 + -5 + 9 + 2n = -2n + 7 Combine like terms: 7 + -5 = 2 2 + 9 + 2n = -2n + 7 Combine like terms: 2 + 9 = 11 11 + 2n = -2n + 7 Reorder the terms: 11 + 2n = 7 + -2n Solving 11 + 2n = 7 + -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. 11 + 2n + 2n = 7 + -2n + 2n Combine like terms: 2n + 2n = 4n 11 + 4n = 7 + -2n + 2n Combine like terms: -2n + 2n = 0 11 + 4n = 7 + 0 11 + 4n = 7 Add '-11' to each side of the equation. 11 + -11 + 4n = 7 + -11 Combine like terms: 11 + -11 = 0 0 + 4n = 7 + -11 4n = 7 + -11 Combine like terms: 7 + -11 = -4 4n = -4 Divide each side by '4'. n = -1 Simplifying n = -1
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