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Simplifying 3n + 9 + -2n = 6 + -2n + 12 Reorder the terms: 9 + 3n + -2n = 6 + -2n + 12 Combine like terms: 3n + -2n = 1n 9 + 1n = 6 + -2n + 12 Reorder the terms: 9 + 1n = 6 + 12 + -2n Combine like terms: 6 + 12 = 18 9 + 1n = 18 + -2n Solving 9 + 1n = 18 + -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 + 1n + 2n = 18 + -2n + 2n Combine like terms: 1n + 2n = 3n 9 + 3n = 18 + -2n + 2n Combine like terms: -2n + 2n = 0 9 + 3n = 18 + 0 9 + 3n = 18 Add '-9' to each side of the equation. 9 + -9 + 3n = 18 + -9 Combine like terms: 9 + -9 = 0 0 + 3n = 18 + -9 3n = 18 + -9 Combine like terms: 18 + -9 = 9 3n = 9 Divide each side by '3'. n = 3 Simplifying n = 3
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