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Simplifying 7(1 + 5n) + 6(1 + 4n) = 12 (1 * 7 + 5n * 7) + 6(1 + 4n) = 12 (7 + 35n) + 6(1 + 4n) = 12 7 + 35n + (1 * 6 + 4n * 6) = 12 7 + 35n + (6 + 24n) = 12 Reorder the terms: 7 + 6 + 35n + 24n = 12 Combine like terms: 7 + 6 = 13 13 + 35n + 24n = 12 Combine like terms: 35n + 24n = 59n 13 + 59n = 12 Solving 13 + 59n = 12 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 59n = 12 + -13 Combine like terms: 13 + -13 = 0 0 + 59n = 12 + -13 59n = 12 + -13 Combine like terms: 12 + -13 = -1 59n = -1 Divide each side by '59'. n = -0.01694915254 Simplifying n = -0.01694915254
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