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Simplifying 4(2n + 3) = 7(4n + 1) + 9 Reorder the terms: 4(3 + 2n) = 7(4n + 1) + 9 (3 * 4 + 2n * 4) = 7(4n + 1) + 9 (12 + 8n) = 7(4n + 1) + 9 Reorder the terms: 12 + 8n = 7(1 + 4n) + 9 12 + 8n = (1 * 7 + 4n * 7) + 9 12 + 8n = (7 + 28n) + 9 Reorder the terms: 12 + 8n = 7 + 9 + 28n Combine like terms: 7 + 9 = 16 12 + 8n = 16 + 28n Solving 12 + 8n = 16 + 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. 12 + 8n + -28n = 16 + 28n + -28n Combine like terms: 8n + -28n = -20n 12 + -20n = 16 + 28n + -28n Combine like terms: 28n + -28n = 0 12 + -20n = 16 + 0 12 + -20n = 16 Add '-12' to each side of the equation. 12 + -12 + -20n = 16 + -12 Combine like terms: 12 + -12 = 0 0 + -20n = 16 + -12 -20n = 16 + -12 Combine like terms: 16 + -12 = 4 -20n = 4 Divide each side by '-20'. n = -0.2 Simplifying n = -0.2
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