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Simplifying 2 + 5n = 4(n + 8) + -4n Reorder the terms: 2 + 5n = 4(8 + n) + -4n 2 + 5n = (8 * 4 + n * 4) + -4n 2 + 5n = (32 + 4n) + -4n Combine like terms: 4n + -4n = 0 2 + 5n = 32 + 0 2 + 5n = 32 Solving 2 + 5n = 32 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 5n = 32 + -2 Combine like terms: 2 + -2 = 0 0 + 5n = 32 + -2 5n = 32 + -2 Combine like terms: 32 + -2 = 30 5n = 30 Divide each side by '5'. n = 6 Simplifying n = 6
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