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Simplifying 7n + [3(1 + -1n) + -2(1 + n)] = 14 7n + [(1 * 3 + -1n * 3) + -2(1 + n)] = 14 7n + [(3 + -3n) + -2(1 + n)] = 14 7n + [3 + -3n + (1 * -2 + n * -2)] = 14 7n + [3 + -3n + (-2 + -2n)] = 14 Reorder the terms: 7n + [3 + -2 + -3n + -2n] = 14 Combine like terms: 3 + -2 = 1 7n + [1 + -3n + -2n] = 14 Combine like terms: -3n + -2n = -5n 7n + [1 + -5n] = 14 Remove brackets around [1 + -5n] 7n + 1 + -5n = 14 Reorder the terms: 1 + 7n + -5n = 14 Combine like terms: 7n + -5n = 2n 1 + 2n = 14 Solving 1 + 2n = 14 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2n = 14 + -1 Combine like terms: 1 + -1 = 0 0 + 2n = 14 + -1 2n = 14 + -1 Combine like terms: 14 + -1 = 13 2n = 13 Divide each side by '2'. n = 6.5 Simplifying n = 6.5
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