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Simplifying 5 + 7n = 4n + 2 Reorder the terms: 5 + 7n = 2 + 4n Solving 5 + 7n = 2 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 5 + 7n + -4n = 2 + 4n + -4n Combine like terms: 7n + -4n = 3n 5 + 3n = 2 + 4n + -4n Combine like terms: 4n + -4n = 0 5 + 3n = 2 + 0 5 + 3n = 2 Add '-5' to each side of the equation. 5 + -5 + 3n = 2 + -5 Combine like terms: 5 + -5 = 0 0 + 3n = 2 + -5 3n = 2 + -5 Combine like terms: 2 + -5 = -3 3n = -3 Divide each side by '3'. n = -1 Simplifying n = -1
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