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Simplifying 4(2n + 2) = 6(9n + 3) + 1 Reorder the terms: 4(2 + 2n) = 6(9n + 3) + 1 (2 * 4 + 2n * 4) = 6(9n + 3) + 1 (8 + 8n) = 6(9n + 3) + 1 Reorder the terms: 8 + 8n = 6(3 + 9n) + 1 8 + 8n = (3 * 6 + 9n * 6) + 1 8 + 8n = (18 + 54n) + 1 Reorder the terms: 8 + 8n = 18 + 1 + 54n Combine like terms: 18 + 1 = 19 8 + 8n = 19 + 54n Solving 8 + 8n = 19 + 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 = 19 + 54n + -54n Combine like terms: 8n + -54n = -46n 8 + -46n = 19 + 54n + -54n Combine like terms: 54n + -54n = 0 8 + -46n = 19 + 0 8 + -46n = 19 Add '-8' to each side of the equation. 8 + -8 + -46n = 19 + -8 Combine like terms: 8 + -8 = 0 0 + -46n = 19 + -8 -46n = 19 + -8 Combine like terms: 19 + -8 = 11 -46n = 11 Divide each side by '-46'. n = -0.2391304348 Simplifying n = -0.2391304348
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