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