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Simplifying 4(3n + 7) = 12 + -8n Reorder the terms: 4(7 + 3n) = 12 + -8n (7 * 4 + 3n * 4) = 12 + -8n (28 + 12n) = 12 + -8n Solving 28 + 12n = 12 + -8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '8n' to each side of the equation. 28 + 12n + 8n = 12 + -8n + 8n Combine like terms: 12n + 8n = 20n 28 + 20n = 12 + -8n + 8n Combine like terms: -8n + 8n = 0 28 + 20n = 12 + 0 28 + 20n = 12 Add '-28' to each side of the equation. 28 + -28 + 20n = 12 + -28 Combine like terms: 28 + -28 = 0 0 + 20n = 12 + -28 20n = 12 + -28 Combine like terms: 12 + -28 = -16 20n = -16 Divide each side by '20'. n = -0.8 Simplifying n = -0.8
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