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Simplifying 4(2n + -4) = 3n + 9 Reorder the terms: 4(-4 + 2n) = 3n + 9 (-4 * 4 + 2n * 4) = 3n + 9 (-16 + 8n) = 3n + 9 Reorder the terms: -16 + 8n = 9 + 3n Solving -16 + 8n = 9 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -16 + 8n + -3n = 9 + 3n + -3n Combine like terms: 8n + -3n = 5n -16 + 5n = 9 + 3n + -3n Combine like terms: 3n + -3n = 0 -16 + 5n = 9 + 0 -16 + 5n = 9 Add '16' to each side of the equation. -16 + 16 + 5n = 9 + 16 Combine like terms: -16 + 16 = 0 0 + 5n = 9 + 16 5n = 9 + 16 Combine like terms: 9 + 16 = 25 5n = 25 Divide each side by '5'. n = 5 Simplifying n = 5
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