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Simplifying 4(2n + -5) = (2n + 8) + 9 Reorder the terms: 4(-5 + 2n) = (2n + 8) + 9 (-5 * 4 + 2n * 4) = (2n + 8) + 9 (-20 + 8n) = (2n + 8) + 9 Reorder the terms: -20 + 8n = (8 + 2n) + 9 Remove parenthesis around (8 + 2n) -20 + 8n = 8 + 2n + 9 Reorder the terms: -20 + 8n = 8 + 9 + 2n Combine like terms: 8 + 9 = 17 -20 + 8n = 17 + 2n Solving -20 + 8n = 17 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -20 + 8n + -2n = 17 + 2n + -2n Combine like terms: 8n + -2n = 6n -20 + 6n = 17 + 2n + -2n Combine like terms: 2n + -2n = 0 -20 + 6n = 17 + 0 -20 + 6n = 17 Add '20' to each side of the equation. -20 + 20 + 6n = 17 + 20 Combine like terms: -20 + 20 = 0 0 + 6n = 17 + 20 6n = 17 + 20 Combine like terms: 17 + 20 = 37 6n = 37 Divide each side by '6'. n = 6.166666667 Simplifying n = 6.166666667
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