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Simplifying 9(n + -1) = 6(n + 2) Reorder the terms: 9(-1 + n) = 6(n + 2) (-1 * 9 + n * 9) = 6(n + 2) (-9 + 9n) = 6(n + 2) Reorder the terms: -9 + 9n = 6(2 + n) -9 + 9n = (2 * 6 + n * 6) -9 + 9n = (12 + 6n) Solving -9 + 9n = 12 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -9 + 9n + -6n = 12 + 6n + -6n Combine like terms: 9n + -6n = 3n -9 + 3n = 12 + 6n + -6n Combine like terms: 6n + -6n = 0 -9 + 3n = 12 + 0 -9 + 3n = 12 Add '9' to each side of the equation. -9 + 9 + 3n = 12 + 9 Combine like terms: -9 + 9 = 0 0 + 3n = 12 + 9 3n = 12 + 9 Combine like terms: 12 + 9 = 21 3n = 21 Divide each side by '3'. n = 7 Simplifying n = 7
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