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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 = 13 13 + -35n + 24n = 13 Combine like terms: -35n + 24n = -11n 13 + -11n = 13 Add '-13' to each side of the equation. 13 + -13 + -11n = 13 + -13 Combine like terms: 13 + -13 = 0 0 + -11n = 13 + -13 -11n = 13 + -13 Combine like terms: 13 + -13 = 0 -11n = 0 Solving -11n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Divide each side by '-11'. n = 0 Simplifying n = 0
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