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Simplifying 12(n + -3) = 4n + 1 Reorder the terms: 12(-3 + n) = 4n + 1 (-3 * 12 + n * 12) = 4n + 1 (-36 + 12n) = 4n + 1 Reorder the terms: -36 + 12n = 1 + 4n Solving -36 + 12n = 1 + 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. -36 + 12n + -4n = 1 + 4n + -4n Combine like terms: 12n + -4n = 8n -36 + 8n = 1 + 4n + -4n Combine like terms: 4n + -4n = 0 -36 + 8n = 1 + 0 -36 + 8n = 1 Add '36' to each side of the equation. -36 + 36 + 8n = 1 + 36 Combine like terms: -36 + 36 = 0 0 + 8n = 1 + 36 8n = 1 + 36 Combine like terms: 1 + 36 = 37 8n = 37 Divide each side by '8'. n = 4.625 Simplifying n = 4.625
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