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Simplifying 12(n + -4) = 4(6 + n) Reorder the terms: 12(-4 + n) = 4(6 + n) (-4 * 12 + n * 12) = 4(6 + n) (-48 + 12n) = 4(6 + n) -48 + 12n = (6 * 4 + n * 4) -48 + 12n = (24 + 4n) Solving -48 + 12n = 24 + 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. -48 + 12n + -4n = 24 + 4n + -4n Combine like terms: 12n + -4n = 8n -48 + 8n = 24 + 4n + -4n Combine like terms: 4n + -4n = 0 -48 + 8n = 24 + 0 -48 + 8n = 24 Add '48' to each side of the equation. -48 + 48 + 8n = 24 + 48 Combine like terms: -48 + 48 = 0 0 + 8n = 24 + 48 8n = 24 + 48 Combine like terms: 24 + 48 = 72 8n = 72 Divide each side by '8'. n = 9 Simplifying n = 9
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