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Simplifying 7(1 + 5n) + 6(2 + 4n) = 13 (1 * 7 + 5n * 7) + 6(2 + 4n) = 13 (7 + 35n) + 6(2 + 4n) = 13 7 + 35n + (2 * 6 + 4n * 6) = 13 7 + 35n + (12 + 24n) = 13 Reorder the terms: 7 + 12 + 35n + 24n = 13 Combine like terms: 7 + 12 = 19 19 + 35n + 24n = 13 Combine like terms: 35n + 24n = 59n 19 + 59n = 13 Solving 19 + 59n = 13 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 59n = 13 + -19 Combine like terms: 19 + -19 = 0 0 + 59n = 13 + -19 59n = 13 + -19 Combine like terms: 13 + -19 = -6 59n = -6 Divide each side by '59'. n = -0.1016949153 Simplifying n = -0.1016949153
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