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Simplifying 4(2n + 4) = 8(4n + 1) + 9 Reorder the terms: 4(4 + 2n) = 8(4n + 1) + 9 (4 * 4 + 2n * 4) = 8(4n + 1) + 9 (16 + 8n) = 8(4n + 1) + 9 Reorder the terms: 16 + 8n = 8(1 + 4n) + 9 16 + 8n = (1 * 8 + 4n * 8) + 9 16 + 8n = (8 + 32n) + 9 Reorder the terms: 16 + 8n = 8 + 9 + 32n Combine like terms: 8 + 9 = 17 16 + 8n = 17 + 32n Solving 16 + 8n = 17 + 32n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-32n' to each side of the equation. 16 + 8n + -32n = 17 + 32n + -32n Combine like terms: 8n + -32n = -24n 16 + -24n = 17 + 32n + -32n Combine like terms: 32n + -32n = 0 16 + -24n = 17 + 0 16 + -24n = 17 Add '-16' to each side of the equation. 16 + -16 + -24n = 17 + -16 Combine like terms: 16 + -16 = 0 0 + -24n = 17 + -16 -24n = 17 + -16 Combine like terms: 17 + -16 = 1 -24n = 1 Divide each side by '-24'. n = -0.04166666667 Simplifying n = -0.04166666667
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