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Simplifying 13 + 4n = 67 + -5n Solving 13 + 4n = 67 + -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. 13 + 4n + 5n = 67 + -5n + 5n Combine like terms: 4n + 5n = 9n 13 + 9n = 67 + -5n + 5n Combine like terms: -5n + 5n = 0 13 + 9n = 67 + 0 13 + 9n = 67 Add '-13' to each side of the equation. 13 + -13 + 9n = 67 + -13 Combine like terms: 13 + -13 = 0 0 + 9n = 67 + -13 9n = 67 + -13 Combine like terms: 67 + -13 = 54 9n = 54 Divide each side by '9'. n = 6 Simplifying n = 6
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