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Simplifying 24 + 8n = 4n + 6(n + 2) Reorder the terms: 24 + 8n = 4n + 6(2 + n) 24 + 8n = 4n + (2 * 6 + n * 6) 24 + 8n = 4n + (12 + 6n) Reorder the terms: 24 + 8n = 12 + 4n + 6n Combine like terms: 4n + 6n = 10n 24 + 8n = 12 + 10n Solving 24 + 8n = 12 + 10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-10n' to each side of the equation. 24 + 8n + -10n = 12 + 10n + -10n Combine like terms: 8n + -10n = -2n 24 + -2n = 12 + 10n + -10n Combine like terms: 10n + -10n = 0 24 + -2n = 12 + 0 24 + -2n = 12 Add '-24' to each side of the equation. 24 + -24 + -2n = 12 + -24 Combine like terms: 24 + -24 = 0 0 + -2n = 12 + -24 -2n = 12 + -24 Combine like terms: 12 + -24 = -12 -2n = -12 Divide each side by '-2'. n = 6 Simplifying n = 6
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