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Simplifying 6(2n + -4) = (8n + 5) + 9 Reorder the terms: 6(-4 + 2n) = (8n + 5) + 9 (-4 * 6 + 2n * 6) = (8n + 5) + 9 (-24 + 12n) = (8n + 5) + 9 Reorder the terms: -24 + 12n = (5 + 8n) + 9 Remove parenthesis around (5 + 8n) -24 + 12n = 5 + 8n + 9 Reorder the terms: -24 + 12n = 5 + 9 + 8n Combine like terms: 5 + 9 = 14 -24 + 12n = 14 + 8n Solving -24 + 12n = 14 + 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. -24 + 12n + -8n = 14 + 8n + -8n Combine like terms: 12n + -8n = 4n -24 + 4n = 14 + 8n + -8n Combine like terms: 8n + -8n = 0 -24 + 4n = 14 + 0 -24 + 4n = 14 Add '24' to each side of the equation. -24 + 24 + 4n = 14 + 24 Combine like terms: -24 + 24 = 0 0 + 4n = 14 + 24 4n = 14 + 24 Combine like terms: 14 + 24 = 38 4n = 38 Divide each side by '4'. n = 9.5 Simplifying n = 9.5
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