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