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Simplifying 2(4n + 9) = -6 + 8(3 + -12n) Reorder the terms: 2(9 + 4n) = -6 + 8(3 + -12n) (9 * 2 + 4n * 2) = -6 + 8(3 + -12n) (18 + 8n) = -6 + 8(3 + -12n) 18 + 8n = -6 + (3 * 8 + -12n * 8) 18 + 8n = -6 + (24 + -96n) Combine like terms: -6 + 24 = 18 18 + 8n = 18 + -96n Add '-18' to each side of the equation. 18 + -18 + 8n = 18 + -18 + -96n Combine like terms: 18 + -18 = 0 0 + 8n = 18 + -18 + -96n 8n = 18 + -18 + -96n Combine like terms: 18 + -18 = 0 8n = 0 + -96n 8n = -96n Solving 8n = -96n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '96n' to each side of the equation. 8n + 96n = -96n + 96n Combine like terms: 8n + 96n = 104n 104n = -96n + 96n Combine like terms: -96n + 96n = 0 104n = 0 Divide each side by '104'. n = 0 Simplifying n = 0
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