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Simplifying 4(3n + -5) = (4n + 8) + 6 Reorder the terms: 4(-5 + 3n) = (4n + 8) + 6 (-5 * 4 + 3n * 4) = (4n + 8) + 6 (-20 + 12n) = (4n + 8) + 6 Reorder the terms: -20 + 12n = (8 + 4n) + 6 Remove parenthesis around (8 + 4n) -20 + 12n = 8 + 4n + 6 Reorder the terms: -20 + 12n = 8 + 6 + 4n Combine like terms: 8 + 6 = 14 -20 + 12n = 14 + 4n Solving -20 + 12n = 14 + 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. -20 + 12n + -4n = 14 + 4n + -4n Combine like terms: 12n + -4n = 8n -20 + 8n = 14 + 4n + -4n Combine like terms: 4n + -4n = 0 -20 + 8n = 14 + 0 -20 + 8n = 14 Add '20' to each side of the equation. -20 + 20 + 8n = 14 + 20 Combine like terms: -20 + 20 = 0 0 + 8n = 14 + 20 8n = 14 + 20 Combine like terms: 14 + 20 = 34 8n = 34 Divide each side by '8'. n = 4.25 Simplifying n = 4.25
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