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Simplifying 4(2n + 2) = 9(6n + 2) + 2 Reorder the terms: 4(2 + 2n) = 9(6n + 2) + 2 (2 * 4 + 2n * 4) = 9(6n + 2) + 2 (8 + 8n) = 9(6n + 2) + 2 Reorder the terms: 8 + 8n = 9(2 + 6n) + 2 8 + 8n = (2 * 9 + 6n * 9) + 2 8 + 8n = (18 + 54n) + 2 Reorder the terms: 8 + 8n = 18 + 2 + 54n Combine like terms: 18 + 2 = 20 8 + 8n = 20 + 54n Solving 8 + 8n = 20 + 54n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-54n' to each side of the equation. 8 + 8n + -54n = 20 + 54n + -54n Combine like terms: 8n + -54n = -46n 8 + -46n = 20 + 54n + -54n Combine like terms: 54n + -54n = 0 8 + -46n = 20 + 0 8 + -46n = 20 Add '-8' to each side of the equation. 8 + -8 + -46n = 20 + -8 Combine like terms: 8 + -8 = 0 0 + -46n = 20 + -8 -46n = 20 + -8 Combine like terms: 20 + -8 = 12 -46n = 12 Divide each side by '-46'. n = -0.2608695652 Simplifying n = -0.2608695652
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