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Simplifying 4(2n + 3) = 6(6n + 4) + 3 Reorder the terms: 4(3 + 2n) = 6(6n + 4) + 3 (3 * 4 + 2n * 4) = 6(6n + 4) + 3 (12 + 8n) = 6(6n + 4) + 3 Reorder the terms: 12 + 8n = 6(4 + 6n) + 3 12 + 8n = (4 * 6 + 6n * 6) + 3 12 + 8n = (24 + 36n) + 3 Reorder the terms: 12 + 8n = 24 + 3 + 36n Combine like terms: 24 + 3 = 27 12 + 8n = 27 + 36n Solving 12 + 8n = 27 + 36n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-36n' to each side of the equation. 12 + 8n + -36n = 27 + 36n + -36n Combine like terms: 8n + -36n = -28n 12 + -28n = 27 + 36n + -36n Combine like terms: 36n + -36n = 0 12 + -28n = 27 + 0 12 + -28n = 27 Add '-12' to each side of the equation. 12 + -12 + -28n = 27 + -12 Combine like terms: 12 + -12 = 0 0 + -28n = 27 + -12 -28n = 27 + -12 Combine like terms: 27 + -12 = 15 -28n = 15 Divide each side by '-28'. n = -0.5357142857 Simplifying n = -0.5357142857
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