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Simplifying 5(1 + 6n) = 9(11x + 2) + -5x (1 * 5 + 6n * 5) = 9(11x + 2) + -5x (5 + 30n) = 9(11x + 2) + -5x Reorder the terms: 5 + 30n = 9(2 + 11x) + -5x 5 + 30n = (2 * 9 + 11x * 9) + -5x 5 + 30n = (18 + 99x) + -5x Combine like terms: 99x + -5x = 94x 5 + 30n = 18 + 94x Solving 5 + 30n = 18 + 94x Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 30n = 18 + -5 + 94x Combine like terms: 5 + -5 = 0 0 + 30n = 18 + -5 + 94x 30n = 18 + -5 + 94x Combine like terms: 18 + -5 = 13 30n = 13 + 94x Divide each side by '30'. n = 0.4333333333 + 3.133333333x Simplifying n = 0.4333333333 + 3.133333333x
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