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Simplifying (8(n + -4)) = (4n + 8) Reorder the terms: (8(-4 + n)) = (4n + 8) ((-4 * 8 + n * 8)) = (4n + 8) ((-32 + 8n)) = (4n + 8) (-32 + 8n) = (4n + 8) Remove parenthesis around (-32 + 8n) -32 + 8n = (4n + 8) Reorder the terms: -32 + 8n = (8 + 4n) Remove parenthesis around (8 + 4n) -32 + 8n = 8 + 4n Solving -32 + 8n = 8 + 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. -32 + 8n + -4n = 8 + 4n + -4n Combine like terms: 8n + -4n = 4n -32 + 4n = 8 + 4n + -4n Combine like terms: 4n + -4n = 0 -32 + 4n = 8 + 0 -32 + 4n = 8 Add '32' to each side of the equation. -32 + 32 + 4n = 8 + 32 Combine like terms: -32 + 32 = 0 0 + 4n = 8 + 32 4n = 8 + 32 Combine like terms: 8 + 32 = 40 4n = 40 Divide each side by '4'. n = 10 Simplifying n = 10
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