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Simplifying 4(2n + -5) = (4n + 4) + 2 Reorder the terms: 4(-5 + 2n) = (4n + 4) + 2 (-5 * 4 + 2n * 4) = (4n + 4) + 2 (-20 + 8n) = (4n + 4) + 2 Reorder the terms: -20 + 8n = (4 + 4n) + 2 Remove parenthesis around (4 + 4n) -20 + 8n = 4 + 4n + 2 Reorder the terms: -20 + 8n = 4 + 2 + 4n Combine like terms: 4 + 2 = 6 -20 + 8n = 6 + 4n Solving -20 + 8n = 6 + 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 + 8n + -4n = 6 + 4n + -4n Combine like terms: 8n + -4n = 4n -20 + 4n = 6 + 4n + -4n Combine like terms: 4n + -4n = 0 -20 + 4n = 6 + 0 -20 + 4n = 6 Add '20' to each side of the equation. -20 + 20 + 4n = 6 + 20 Combine like terms: -20 + 20 = 0 0 + 4n = 6 + 20 4n = 6 + 20 Combine like terms: 6 + 20 = 26 4n = 26 Divide each side by '4'. n = 6.5 Simplifying n = 6.5
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