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Simplifying 4(x + 8n) + 7(7x + 4n) = 0 Reorder the terms: 4(8n + x) + 7(7x + 4n) = 0 (8n * 4 + x * 4) + 7(7x + 4n) = 0 (32n + 4x) + 7(7x + 4n) = 0 Reorder the terms: 32n + 4x + 7(4n + 7x) = 0 32n + 4x + (4n * 7 + 7x * 7) = 0 32n + 4x + (28n + 49x) = 0 Reorder the terms: 32n + 28n + 4x + 49x = 0 Combine like terms: 32n + 28n = 60n 60n + 4x + 49x = 0 Combine like terms: 4x + 49x = 53x 60n + 53x = 0 Solving 60n + 53x = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-53x' to each side of the equation. 60n + 53x + -53x = 0 + -53x Combine like terms: 53x + -53x = 0 60n + 0 = 0 + -53x 60n = 0 + -53x Remove the zero: 60n = -53x Divide each side by '60'. n = -0.8833333333x Simplifying n = -0.8833333333x
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