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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 = -5 7n + 2[-5 + 3n + -2n] = 14 Combine like terms: 3n + -2n = 1n 7n + 2[-5 + 1n] = 14 7n + [-5 * 2 + 1n * 2] = 14 7n + [-10 + 2n] = 14 Reorder the terms: -10 + 7n + 2n = 14 Combine like terms: 7n + 2n = 9n -10 + 9n = 14 Solving -10 + 9n = 14 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 9n = 14 + 10 Combine like terms: -10 + 10 = 0 0 + 9n = 14 + 10 9n = 14 + 10 Combine like terms: 14 + 10 = 24 9n = 24 Divide each side by '9'. n = 2.666666667 Simplifying n = 2.666666667
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