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Simplifying 7(1 + 5n) + 7(1 + 4n) = 13 (1 * 7 + 5n * 7) + 7(1 + 4n) = 13 (7 + 35n) + 7(1 + 4n) = 13 7 + 35n + (1 * 7 + 4n * 7) = 13 7 + 35n + (7 + 28n) = 13 Reorder the terms: 7 + 7 + 35n + 28n = 13 Combine like terms: 7 + 7 = 14 14 + 35n + 28n = 13 Combine like terms: 35n + 28n = 63n 14 + 63n = 13 Solving 14 + 63n = 13 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 63n = 13 + -14 Combine like terms: 14 + -14 = 0 0 + 63n = 13 + -14 63n = 13 + -14 Combine like terms: 13 + -14 = -1 63n = -1 Divide each side by '63'. n = -0.01587301587 Simplifying n = -0.01587301587
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