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Simplifying 7(1 + 8n) + 7(n + 6) = 49 (1 * 7 + 8n * 7) + 7(n + 6) = 49 (7 + 56n) + 7(n + 6) = 49 Reorder the terms: 7 + 56n + 7(6 + n) = 49 7 + 56n + (6 * 7 + n * 7) = 49 7 + 56n + (42 + 7n) = 49 Reorder the terms: 7 + 42 + 56n + 7n = 49 Combine like terms: 7 + 42 = 49 49 + 56n + 7n = 49 Combine like terms: 56n + 7n = 63n 49 + 63n = 49 Add '-49' to each side of the equation. 49 + -49 + 63n = 49 + -49 Combine like terms: 49 + -49 = 0 0 + 63n = 49 + -49 63n = 49 + -49 Combine like terms: 49 + -49 = 0 63n = 0 Solving 63n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Divide each side by '63'. n = 0 Simplifying n = 0
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