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Simplifying 6 + 2n + -5 = 9n + 2 + -6n Reorder the terms: 6 + -5 + 2n = 9n + 2 + -6n Combine like terms: 6 + -5 = 1 1 + 2n = 9n + 2 + -6n Reorder the terms: 1 + 2n = 2 + 9n + -6n Combine like terms: 9n + -6n = 3n 1 + 2n = 2 + 3n Solving 1 + 2n = 2 + 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. 1 + 2n + -3n = 2 + 3n + -3n Combine like terms: 2n + -3n = -1n 1 + -1n = 2 + 3n + -3n Combine like terms: 3n + -3n = 0 1 + -1n = 2 + 0 1 + -1n = 2 Add '-1' to each side of the equation. 1 + -1 + -1n = 2 + -1 Combine like terms: 1 + -1 = 0 0 + -1n = 2 + -1 -1n = 2 + -1 Combine like terms: 2 + -1 = 1 -1n = 1 Divide each side by '-1'. n = -1 Simplifying n = -1
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