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Simplifying 8 + 12n + -6 = 9n + 56 + -6n Reorder the terms: 8 + -6 + 12n = 9n + 56 + -6n Combine like terms: 8 + -6 = 2 2 + 12n = 9n + 56 + -6n Reorder the terms: 2 + 12n = 56 + 9n + -6n Combine like terms: 9n + -6n = 3n 2 + 12n = 56 + 3n Solving 2 + 12n = 56 + 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 + 12n + -3n = 56 + 3n + -3n Combine like terms: 12n + -3n = 9n 2 + 9n = 56 + 3n + -3n Combine like terms: 3n + -3n = 0 2 + 9n = 56 + 0 2 + 9n = 56 Add '-2' to each side of the equation. 2 + -2 + 9n = 56 + -2 Combine like terms: 2 + -2 = 0 0 + 9n = 56 + -2 9n = 56 + -2 Combine like terms: 56 + -2 = 54 9n = 54 Divide each side by '9'. n = 6 Simplifying n = 6
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