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