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Simplifying 7n + 2[3(1 + -1n) + -2(1 + n)] = 14 7n + 2[(1 * 3 + -1n * 3) + -2(1 + n)] = 14 7n + 2[(3 + -3n) + -2(1 + n)] = 14 7n + 2[3 + -3n + (1 * -2 + n * -2)] = 14 7n + 2[3 + -3n + (-2 + -2n)] = 14 Reorder the terms: 7n + 2[3 + -2 + -3n + -2n] = 14 Combine like terms: 3 + -2 = 1 7n + 2[1 + -3n + -2n] = 14 Combine like terms: -3n + -2n = -5n 7n + 2[1 + -5n] = 14 7n + [1 * 2 + -5n * 2] = 14 7n + [2 + -10n] = 14 Reorder the terms: 2 + 7n + -10n = 14 Combine like terms: 7n + -10n = -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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