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Simplifying 8(n + 4) = 6n + 24 Reorder the terms: 8(4 + n) = 6n + 24 (4 * 8 + n * 8) = 6n + 24 (32 + 8n) = 6n + 24 Reorder the terms: 32 + 8n = 24 + 6n Solving 32 + 8n = 24 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 32 + 8n + -6n = 24 + 6n + -6n Combine like terms: 8n + -6n = 2n 32 + 2n = 24 + 6n + -6n Combine like terms: 6n + -6n = 0 32 + 2n = 24 + 0 32 + 2n = 24 Add '-32' to each side of the equation. 32 + -32 + 2n = 24 + -32 Combine like terms: 32 + -32 = 0 0 + 2n = 24 + -32 2n = 24 + -32 Combine like terms: 24 + -32 = -8 2n = -8 Divide each side by '2'. n = -4 Simplifying n = -4
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