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Simplifying 5 + -4n + 7n + -2 = 12 Reorder the terms: 5 + -2 + -4n + 7n = 12 Combine like terms: 5 + -2 = 3 3 + -4n + 7n = 12 Combine like terms: -4n + 7n = 3n 3 + 3n = 12 Solving 3 + 3n = 12 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 3n = 12 + -3 Combine like terms: 3 + -3 = 0 0 + 3n = 12 + -3 3n = 12 + -3 Combine like terms: 12 + -3 = 9 3n = 9 Divide each side by '3'. n = 3 Simplifying n = 3
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