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Simplifying 6 + 12n + -5 = 5n + 46 + -2n Reorder the terms: 6 + -5 + 12n = 5n + 46 + -2n Combine like terms: 6 + -5 = 1 1 + 12n = 5n + 46 + -2n Reorder the terms: 1 + 12n = 46 + 5n + -2n Combine like terms: 5n + -2n = 3n 1 + 12n = 46 + 3n Solving 1 + 12n = 46 + 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 + 12n + -3n = 46 + 3n + -3n Combine like terms: 12n + -3n = 9n 1 + 9n = 46 + 3n + -3n Combine like terms: 3n + -3n = 0 1 + 9n = 46 + 0 1 + 9n = 46 Add '-1' to each side of the equation. 1 + -1 + 9n = 46 + -1 Combine like terms: 1 + -1 = 0 0 + 9n = 46 + -1 9n = 46 + -1 Combine like terms: 46 + -1 = 45 9n = 45 Divide each side by '9'. n = 5 Simplifying n = 5
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