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Simplifying 3(n + 2) + 4n = 4(n + 2) + 4 Reorder the terms: 3(2 + n) + 4n = 4(n + 2) + 4 (2 * 3 + n * 3) + 4n = 4(n + 2) + 4 (6 + 3n) + 4n = 4(n + 2) + 4 Combine like terms: 3n + 4n = 7n 6 + 7n = 4(n + 2) + 4 Reorder the terms: 6 + 7n = 4(2 + n) + 4 6 + 7n = (2 * 4 + n * 4) + 4 6 + 7n = (8 + 4n) + 4 Reorder the terms: 6 + 7n = 8 + 4 + 4n Combine like terms: 8 + 4 = 12 6 + 7n = 12 + 4n Solving 6 + 7n = 12 + 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. 6 + 7n + -4n = 12 + 4n + -4n Combine like terms: 7n + -4n = 3n 6 + 3n = 12 + 4n + -4n Combine like terms: 4n + -4n = 0 6 + 3n = 12 + 0 6 + 3n = 12 Add '-6' to each side of the equation. 6 + -6 + 3n = 12 + -6 Combine like terms: 6 + -6 = 0 0 + 3n = 12 + -6 3n = 12 + -6 Combine like terms: 12 + -6 = 6 3n = 6 Divide each side by '3'. n = 2 Simplifying n = 2
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