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Simplifying 4(2n + 3) = 9(7n + 4) + 1 Reorder the terms: 4(3 + 2n) = 9(7n + 4) + 1 (3 * 4 + 2n * 4) = 9(7n + 4) + 1 (12 + 8n) = 9(7n + 4) + 1 Reorder the terms: 12 + 8n = 9(4 + 7n) + 1 12 + 8n = (4 * 9 + 7n * 9) + 1 12 + 8n = (36 + 63n) + 1 Reorder the terms: 12 + 8n = 36 + 1 + 63n Combine like terms: 36 + 1 = 37 12 + 8n = 37 + 63n Solving 12 + 8n = 37 + 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. 12 + 8n + -63n = 37 + 63n + -63n Combine like terms: 8n + -63n = -55n 12 + -55n = 37 + 63n + -63n Combine like terms: 63n + -63n = 0 12 + -55n = 37 + 0 12 + -55n = 37 Add '-12' to each side of the equation. 12 + -12 + -55n = 37 + -12 Combine like terms: 12 + -12 = 0 0 + -55n = 37 + -12 -55n = 37 + -12 Combine like terms: 37 + -12 = 25 -55n = 25 Divide each side by '-55'. n = -0.4545454545 Simplifying n = -0.4545454545
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