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Simplifying 2 + 3n + 4n = 3n + 6 Combine like terms: 3n + 4n = 7n 2 + 7n = 3n + 6 Reorder the terms: 2 + 7n = 6 + 3n Solving 2 + 7n = 6 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 2 + 7n + -3n = 6 + 3n + -3n Combine like terms: 7n + -3n = 4n 2 + 4n = 6 + 3n + -3n Combine like terms: 3n + -3n = 0 2 + 4n = 6 + 0 2 + 4n = 6 Add '-2' to each side of the equation. 2 + -2 + 4n = 6 + -2 Combine like terms: 2 + -2 = 0 0 + 4n = 6 + -2 4n = 6 + -2 Combine like terms: 6 + -2 = 4 4n = 4 Divide each side by '4'. n = 1 Simplifying n = 1
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