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Simplifying 4n + 4(n + 6) = n + 24 Reorder the terms: 4n + 4(6 + n) = n + 24 4n + (6 * 4 + n * 4) = n + 24 4n + (24 + 4n) = n + 24 Reorder the terms: 24 + 4n + 4n = n + 24 Combine like terms: 4n + 4n = 8n 24 + 8n = n + 24 Reorder the terms: 24 + 8n = 24 + n Add '-24' to each side of the equation. 24 + -24 + 8n = 24 + -24 + n Combine like terms: 24 + -24 = 0 0 + 8n = 24 + -24 + n 8n = 24 + -24 + n Combine like terms: 24 + -24 = 0 8n = 0 + n 8n = n Solving 8n = n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 8n + -1n = n + -1n Combine like terms: 8n + -1n = 7n 7n = n + -1n Combine like terms: n + -1n = 0 7n = 0 Divide each side by '7'. n = 0 Simplifying n = 0
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