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Simplifying 3(1 + 8n) + -1(n + 3) = -7n + 7n (1 * 3 + 8n * 3) + -1(n + 3) = -7n + 7n (3 + 24n) + -1(n + 3) = -7n + 7n Reorder the terms: 3 + 24n + -1(3 + n) = -7n + 7n 3 + 24n + (3 * -1 + n * -1) = -7n + 7n 3 + 24n + (-3 + -1n) = -7n + 7n Reorder the terms: 3 + -3 + 24n + -1n = -7n + 7n Combine like terms: 3 + -3 = 0 0 + 24n + -1n = -7n + 7n 24n + -1n = -7n + 7n Combine like terms: 24n + -1n = 23n 23n = -7n + 7n Combine like terms: -7n + 7n = 0 23n = 0 Solving 23n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Divide each side by '23'. n = 0 Simplifying n = 0
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