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Simplifying 4(2n + 3) = 6(8n + 2) + 6 Reorder the terms: 4(3 + 2n) = 6(8n + 2) + 6 (3 * 4 + 2n * 4) = 6(8n + 2) + 6 (12 + 8n) = 6(8n + 2) + 6 Reorder the terms: 12 + 8n = 6(2 + 8n) + 6 12 + 8n = (2 * 6 + 8n * 6) + 6 12 + 8n = (12 + 48n) + 6 Reorder the terms: 12 + 8n = 12 + 6 + 48n Combine like terms: 12 + 6 = 18 12 + 8n = 18 + 48n Solving 12 + 8n = 18 + 48n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-48n' to each side of the equation. 12 + 8n + -48n = 18 + 48n + -48n Combine like terms: 8n + -48n = -40n 12 + -40n = 18 + 48n + -48n Combine like terms: 48n + -48n = 0 12 + -40n = 18 + 0 12 + -40n = 18 Add '-12' to each side of the equation. 12 + -12 + -40n = 18 + -12 Combine like terms: 12 + -12 = 0 0 + -40n = 18 + -12 -40n = 18 + -12 Combine like terms: 18 + -12 = 6 -40n = 6 Divide each side by '-40'. n = -0.15 Simplifying n = -0.15
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