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Simplifying 7(2 + -3n) + 6(2 + 5n) = 20 (2 * 7 + -3n * 7) + 6(2 + 5n) = 20 (14 + -21n) + 6(2 + 5n) = 20 14 + -21n + (2 * 6 + 5n * 6) = 20 14 + -21n + (12 + 30n) = 20 Reorder the terms: 14 + 12 + -21n + 30n = 20 Combine like terms: 14 + 12 = 26 26 + -21n + 30n = 20 Combine like terms: -21n + 30n = 9n 26 + 9n = 20 Solving 26 + 9n = 20 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + 9n = 20 + -26 Combine like terms: 26 + -26 = 0 0 + 9n = 20 + -26 9n = 20 + -26 Combine like terms: 20 + -26 = -6 9n = -6 Divide each side by '9'. n = -0.6666666667 Simplifying n = -0.6666666667
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