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