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Simplifying 4(2n + -5) = (3n + 1) + 9 Reorder the terms: 4(-5 + 2n) = (3n + 1) + 9 (-5 * 4 + 2n * 4) = (3n + 1) + 9 (-20 + 8n) = (3n + 1) + 9 Reorder the terms: -20 + 8n = (1 + 3n) + 9 Remove parenthesis around (1 + 3n) -20 + 8n = 1 + 3n + 9 Reorder the terms: -20 + 8n = 1 + 9 + 3n Combine like terms: 1 + 9 = 10 -20 + 8n = 10 + 3n Solving -20 + 8n = 10 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -20 + 8n + -3n = 10 + 3n + -3n Combine like terms: 8n + -3n = 5n -20 + 5n = 10 + 3n + -3n Combine like terms: 3n + -3n = 0 -20 + 5n = 10 + 0 -20 + 5n = 10 Add '20' to each side of the equation. -20 + 20 + 5n = 10 + 20 Combine like terms: -20 + 20 = 0 0 + 5n = 10 + 20 5n = 10 + 20 Combine like terms: 10 + 20 = 30 5n = 30 Divide each side by '5'. n = 6 Simplifying n = 6
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