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Simplifying 4(-2 + 5n) + -4n = 24 + 8n (-2 * 4 + 5n * 4) + -4n = 24 + 8n (-8 + 20n) + -4n = 24 + 8n Combine like terms: 20n + -4n = 16n -8 + 16n = 24 + 8n Solving -8 + 16n = 24 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. -8 + 16n + -8n = 24 + 8n + -8n Combine like terms: 16n + -8n = 8n -8 + 8n = 24 + 8n + -8n Combine like terms: 8n + -8n = 0 -8 + 8n = 24 + 0 -8 + 8n = 24 Add '8' to each side of the equation. -8 + 8 + 8n = 24 + 8 Combine like terms: -8 + 8 = 0 0 + 8n = 24 + 8 8n = 24 + 8 Combine like terms: 24 + 8 = 32 8n = 32 Divide each side by '8'. n = 4 Simplifying n = 4
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