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Simplifying 5(n + 12) + 4n = 114 Reorder the terms: 5(12 + n) + 4n = 114 (12 * 5 + n * 5) + 4n = 114 (60 + 5n) + 4n = 114 Combine like terms: 5n + 4n = 9n 60 + 9n = 114 Solving 60 + 9n = 114 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + 9n = 114 + -60 Combine like terms: 60 + -60 = 0 0 + 9n = 114 + -60 9n = 114 + -60 Combine like terms: 114 + -60 = 54 9n = 54 Divide each side by '9'. n = 6 Simplifying n = 6
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