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Simplifying 10(7n + 2) + 7(12 + 12n) = -50 Reorder the terms: 10(2 + 7n) + 7(12 + 12n) = -50 (2 * 10 + 7n * 10) + 7(12 + 12n) = -50 (20 + 70n) + 7(12 + 12n) = -50 20 + 70n + (12 * 7 + 12n * 7) = -50 20 + 70n + (84 + 84n) = -50 Reorder the terms: 20 + 84 + 70n + 84n = -50 Combine like terms: 20 + 84 = 104 104 + 70n + 84n = -50 Combine like terms: 70n + 84n = 154n 104 + 154n = -50 Solving 104 + 154n = -50 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-104' to each side of the equation. 104 + -104 + 154n = -50 + -104 Combine like terms: 104 + -104 = 0 0 + 154n = -50 + -104 154n = -50 + -104 Combine like terms: -50 + -104 = -154 154n = -154 Divide each side by '154'. n = -1 Simplifying n = -1
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