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Simplifying 8(6n + 1) + 4n = 424 Reorder the terms: 8(1 + 6n) + 4n = 424 (1 * 8 + 6n * 8) + 4n = 424 (8 + 48n) + 4n = 424 Combine like terms: 48n + 4n = 52n 8 + 52n = 424 Solving 8 + 52n = 424 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 52n = 424 + -8 Combine like terms: 8 + -8 = 0 0 + 52n = 424 + -8 52n = 424 + -8 Combine like terms: 424 + -8 = 416 52n = 416 Divide each side by '52'. n = 8 Simplifying n = 8
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