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Simplifying 4(2n + 2) = 6(8n + 8) + 6 Reorder the terms: 4(2 + 2n) = 6(8n + 8) + 6 (2 * 4 + 2n * 4) = 6(8n + 8) + 6 (8 + 8n) = 6(8n + 8) + 6 Reorder the terms: 8 + 8n = 6(8 + 8n) + 6 8 + 8n = (8 * 6 + 8n * 6) + 6 8 + 8n = (48 + 48n) + 6 Reorder the terms: 8 + 8n = 48 + 6 + 48n Combine like terms: 48 + 6 = 54 8 + 8n = 54 + 48n Solving 8 + 8n = 54 + 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. 8 + 8n + -48n = 54 + 48n + -48n Combine like terms: 8n + -48n = -40n 8 + -40n = 54 + 48n + -48n Combine like terms: 48n + -48n = 0 8 + -40n = 54 + 0 8 + -40n = 54 Add '-8' to each side of the equation. 8 + -8 + -40n = 54 + -8 Combine like terms: 8 + -8 = 0 0 + -40n = 54 + -8 -40n = 54 + -8 Combine like terms: 54 + -8 = 46 -40n = 46 Divide each side by '-40'. n = -1.15 Simplifying n = -1.15
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