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Simplifying 4n + -4(8 + 3n) = 52 4n + (8 * -4 + 3n * -4) = 52 4n + (-32 + -12n) = 52 Reorder the terms: -32 + 4n + -12n = 52 Combine like terms: 4n + -12n = -8n -32 + -8n = 52 Solving -32 + -8n = 52 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + -8n = 52 + 32 Combine like terms: -32 + 32 = 0 0 + -8n = 52 + 32 -8n = 52 + 32 Combine like terms: 52 + 32 = 84 -8n = 84 Divide each side by '-8'. n = -10.5 Simplifying n = -10.5
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