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Simplifying 4(2n + 1) = 7(9n + 8) + 6 Reorder the terms: 4(1 + 2n) = 7(9n + 8) + 6 (1 * 4 + 2n * 4) = 7(9n + 8) + 6 (4 + 8n) = 7(9n + 8) + 6 Reorder the terms: 4 + 8n = 7(8 + 9n) + 6 4 + 8n = (8 * 7 + 9n * 7) + 6 4 + 8n = (56 + 63n) + 6 Reorder the terms: 4 + 8n = 56 + 6 + 63n Combine like terms: 56 + 6 = 62 4 + 8n = 62 + 63n Solving 4 + 8n = 62 + 63n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-63n' to each side of the equation. 4 + 8n + -63n = 62 + 63n + -63n Combine like terms: 8n + -63n = -55n 4 + -55n = 62 + 63n + -63n Combine like terms: 63n + -63n = 0 4 + -55n = 62 + 0 4 + -55n = 62 Add '-4' to each side of the equation. 4 + -4 + -55n = 62 + -4 Combine like terms: 4 + -4 = 0 0 + -55n = 62 + -4 -55n = 62 + -4 Combine like terms: 62 + -4 = 58 -55n = 58 Divide each side by '-55'. n = -1.054545455 Simplifying n = -1.054545455
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