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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: 7n + 2[2 + -2 + -2n + -2n] = 14 Combine like terms: 2 + -2 = 0 7n + 2[0 + -2n + -2n] = 14 7n + 2[-2n + -2n] = 14 Combine like terms: -2n + -2n = -4n 7n + 2[-4n] = 14 Remove brackets around [-4n] 7n + 2 * -4n = 14 Multiply 2 * -4 7n + -8n = 14 Combine like terms: 7n + -8n = -1n -1n = 14 Solving -1n = 14 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Divide each side by '-1'. n = -14 Simplifying n = -14
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