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Simplifying 4(2n + 4) = 7(4n + 2) + 6 Reorder the terms: 4(4 + 2n) = 7(4n + 2) + 6 (4 * 4 + 2n * 4) = 7(4n + 2) + 6 (16 + 8n) = 7(4n + 2) + 6 Reorder the terms: 16 + 8n = 7(2 + 4n) + 6 16 + 8n = (2 * 7 + 4n * 7) + 6 16 + 8n = (14 + 28n) + 6 Reorder the terms: 16 + 8n = 14 + 6 + 28n Combine like terms: 14 + 6 = 20 16 + 8n = 20 + 28n Solving 16 + 8n = 20 + 28n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-28n' to each side of the equation. 16 + 8n + -28n = 20 + 28n + -28n Combine like terms: 8n + -28n = -20n 16 + -20n = 20 + 28n + -28n Combine like terms: 28n + -28n = 0 16 + -20n = 20 + 0 16 + -20n = 20 Add '-16' to each side of the equation. 16 + -16 + -20n = 20 + -16 Combine like terms: 16 + -16 = 0 0 + -20n = 20 + -16 -20n = 20 + -16 Combine like terms: 20 + -16 = 4 -20n = 4 Divide each side by '-20'. n = -0.2 Simplifying n = -0.2
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