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Simplifying 3n + 23 + 4n + 31 = 180 Reorder the terms: 23 + 31 + 3n + 4n = 180 Combine like terms: 23 + 31 = 54 54 + 3n + 4n = 180 Combine like terms: 3n + 4n = 7n 54 + 7n = 180 Solving 54 + 7n = 180 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-54' to each side of the equation. 54 + -54 + 7n = 180 + -54 Combine like terms: 54 + -54 = 0 0 + 7n = 180 + -54 7n = 180 + -54 Combine like terms: 180 + -54 = 126 7n = 126 Divide each side by '7'. n = 18 Simplifying n = 18
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