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Simplifying 7n + 2 + 2(1 + -1n) + -2(1 + n) = 14 7n + 2 + (1 * 2 + -1n * 2) + -2(1 + n) = 14 7n + 2 + (2 + -2n) + -2(1 + n) = 14 7n + 2 + 2 + -2n + (1 * -2 + n * -2) = 14 7n + 2 + 2 + -2n + (-2 + -2n) = 14 Reorder the terms: 2 + 2 + -2 + 7n + -2n + -2n = 14 Combine like terms: 2 + 2 = 4 4 + -2 + 7n + -2n + -2n = 14 Combine like terms: 4 + -2 = 2 2 + 7n + -2n + -2n = 14 Combine like terms: 7n + -2n = 5n 2 + 5n + -2n = 14 Combine like terms: 5n + -2n = 3n 2 + 3n = 14 Solving 2 + 3n = 14 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 3n = 14 + -2 Combine like terms: 2 + -2 = 0 0 + 3n = 14 + -2 3n = 14 + -2 Combine like terms: 14 + -2 = 12 3n = 12 Divide each side by '3'. n = 4 Simplifying n = 4
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