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Simplifying 12n + 4 + -5n = 42 Reorder the terms: 4 + 12n + -5n = 42 Combine like terms: 12n + -5n = 7n 4 + 7n = 42 Solving 4 + 7n = 42 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 7n = 42 + -4 Combine like terms: 4 + -4 = 0 0 + 7n = 42 + -4 7n = 42 + -4 Combine like terms: 42 + -4 = 38 7n = 38 Divide each side by '7'. n = 5.428571429 Simplifying n = 5.428571429
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