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Simplifying 6 + 17n + -1 = 9n + 33 + -6n Reorder the terms: 6 + -1 + 17n = 9n + 33 + -6n Combine like terms: 6 + -1 = 5 5 + 17n = 9n + 33 + -6n Reorder the terms: 5 + 17n = 33 + 9n + -6n Combine like terms: 9n + -6n = 3n 5 + 17n = 33 + 3n Solving 5 + 17n = 33 + 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. 5 + 17n + -3n = 33 + 3n + -3n Combine like terms: 17n + -3n = 14n 5 + 14n = 33 + 3n + -3n Combine like terms: 3n + -3n = 0 5 + 14n = 33 + 0 5 + 14n = 33 Add '-5' to each side of the equation. 5 + -5 + 14n = 33 + -5 Combine like terms: 5 + -5 = 0 0 + 14n = 33 + -5 14n = 33 + -5 Combine like terms: 33 + -5 = 28 14n = 28 Divide each side by '14'. n = 2 Simplifying n = 2
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