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