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Simplifying 12n + -4 = 8(n + 3) Reorder the terms: -4 + 12n = 8(n + 3) Reorder the terms: -4 + 12n = 8(3 + n) -4 + 12n = (3 * 8 + n * 8) -4 + 12n = (24 + 8n) Solving -4 + 12n = 24 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. -4 + 12n + -8n = 24 + 8n + -8n Combine like terms: 12n + -8n = 4n -4 + 4n = 24 + 8n + -8n Combine like terms: 8n + -8n = 0 -4 + 4n = 24 + 0 -4 + 4n = 24 Add '4' to each side of the equation. -4 + 4 + 4n = 24 + 4 Combine like terms: -4 + 4 = 0 0 + 4n = 24 + 4 4n = 24 + 4 Combine like terms: 24 + 4 = 28 4n = 28 Divide each side by '4'. n = 7 Simplifying n = 7
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