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Simplifying 5 + 13n + -2 = 9n + 57 + -5n Reorder the terms: 5 + -2 + 13n = 9n + 57 + -5n Combine like terms: 5 + -2 = 3 3 + 13n = 9n + 57 + -5n Reorder the terms: 3 + 13n = 57 + 9n + -5n Combine like terms: 9n + -5n = 4n 3 + 13n = 57 + 4n Solving 3 + 13n = 57 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 3 + 13n + -4n = 57 + 4n + -4n Combine like terms: 13n + -4n = 9n 3 + 9n = 57 + 4n + -4n Combine like terms: 4n + -4n = 0 3 + 9n = 57 + 0 3 + 9n = 57 Add '-3' to each side of the equation. 3 + -3 + 9n = 57 + -3 Combine like terms: 3 + -3 = 0 0 + 9n = 57 + -3 9n = 57 + -3 Combine like terms: 57 + -3 = 54 9n = 54 Divide each side by '9'. n = 6 Simplifying n = 6
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