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Simplifying 6 + 17n + -1 = 9n + 53 + -4n Reorder the terms: 6 + -1 + 17n = 9n + 53 + -4n Combine like terms: 6 + -1 = 5 5 + 17n = 9n + 53 + -4n Reorder the terms: 5 + 17n = 53 + 9n + -4n Combine like terms: 9n + -4n = 5n 5 + 17n = 53 + 5n Solving 5 + 17n = 53 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 5 + 17n + -5n = 53 + 5n + -5n Combine like terms: 17n + -5n = 12n 5 + 12n = 53 + 5n + -5n Combine like terms: 5n + -5n = 0 5 + 12n = 53 + 0 5 + 12n = 53 Add '-5' to each side of the equation. 5 + -5 + 12n = 53 + -5 Combine like terms: 5 + -5 = 0 0 + 12n = 53 + -5 12n = 53 + -5 Combine like terms: 53 + -5 = 48 12n = 48 Divide each side by '12'. n = 4 Simplifying n = 4
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