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Simplifying 3(4n + -2) = 8n + 3 Reorder the terms: 3(-2 + 4n) = 8n + 3 (-2 * 3 + 4n * 3) = 8n + 3 (-6 + 12n) = 8n + 3 Reorder the terms: -6 + 12n = 3 + 8n Solving -6 + 12n = 3 + 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. -6 + 12n + -8n = 3 + 8n + -8n Combine like terms: 12n + -8n = 4n -6 + 4n = 3 + 8n + -8n Combine like terms: 8n + -8n = 0 -6 + 4n = 3 + 0 -6 + 4n = 3 Add '6' to each side of the equation. -6 + 6 + 4n = 3 + 6 Combine like terms: -6 + 6 = 0 0 + 4n = 3 + 6 4n = 3 + 6 Combine like terms: 3 + 6 = 9 4n = 9 Divide each side by '4'. n = 2.25 Simplifying n = 2.25
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