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Simplifying 7(-1 + 5n) + 6(1 + 4n) = 13 (-1 * 7 + 5n * 7) + 6(1 + 4n) = 13 (-7 + 35n) + 6(1 + 4n) = 13 -7 + 35n + (1 * 6 + 4n * 6) = 13 -7 + 35n + (6 + 24n) = 13 Reorder the terms: -7 + 6 + 35n + 24n = 13 Combine like terms: -7 + 6 = -1 -1 + 35n + 24n = 13 Combine like terms: 35n + 24n = 59n -1 + 59n = 13 Solving -1 + 59n = 13 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 59n = 13 + 1 Combine like terms: -1 + 1 = 0 0 + 59n = 13 + 1 59n = 13 + 1 Combine like terms: 13 + 1 = 14 59n = 14 Divide each side by '59'. n = 0.2372881356 Simplifying n = 0.2372881356
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