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Simplifying 4(3n + -5) = (8n + 4) + 7 Reorder the terms: 4(-5 + 3n) = (8n + 4) + 7 (-5 * 4 + 3n * 4) = (8n + 4) + 7 (-20 + 12n) = (8n + 4) + 7 Reorder the terms: -20 + 12n = (4 + 8n) + 7 Remove parenthesis around (4 + 8n) -20 + 12n = 4 + 8n + 7 Reorder the terms: -20 + 12n = 4 + 7 + 8n Combine like terms: 4 + 7 = 11 -20 + 12n = 11 + 8n Solving -20 + 12n = 11 + 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. -20 + 12n + -8n = 11 + 8n + -8n Combine like terms: 12n + -8n = 4n -20 + 4n = 11 + 8n + -8n Combine like terms: 8n + -8n = 0 -20 + 4n = 11 + 0 -20 + 4n = 11 Add '20' to each side of the equation. -20 + 20 + 4n = 11 + 20 Combine like terms: -20 + 20 = 0 0 + 4n = 11 + 20 4n = 11 + 20 Combine like terms: 11 + 20 = 31 4n = 31 Divide each side by '4'. n = 7.75 Simplifying n = 7.75
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