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Simplifying 2(5 + 4n) = 10(1 + -9n) + 7n (5 * 2 + 4n * 2) = 10(1 + -9n) + 7n (10 + 8n) = 10(1 + -9n) + 7n 10 + 8n = (1 * 10 + -9n * 10) + 7n 10 + 8n = (10 + -90n) + 7n Combine like terms: -90n + 7n = -83n 10 + 8n = 10 + -83n Add '-10' to each side of the equation. 10 + -10 + 8n = 10 + -10 + -83n Combine like terms: 10 + -10 = 0 0 + 8n = 10 + -10 + -83n 8n = 10 + -10 + -83n Combine like terms: 10 + -10 = 0 8n = 0 + -83n 8n = -83n Solving 8n = -83n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '83n' to each side of the equation. 8n + 83n = -83n + 83n Combine like terms: 8n + 83n = 91n 91n = -83n + 83n Combine like terms: -83n + 83n = 0 91n = 0 Divide each side by '91'. n = 0 Simplifying n = 0
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