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Simplifying 4(2n + -5) = (4n + 1) + 7 Reorder the terms: 4(-5 + 2n) = (4n + 1) + 7 (-5 * 4 + 2n * 4) = (4n + 1) + 7 (-20 + 8n) = (4n + 1) + 7 Reorder the terms: -20 + 8n = (1 + 4n) + 7 Remove parenthesis around (1 + 4n) -20 + 8n = 1 + 4n + 7 Reorder the terms: -20 + 8n = 1 + 7 + 4n Combine like terms: 1 + 7 = 8 -20 + 8n = 8 + 4n Solving -20 + 8n = 8 + 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 = 8 + 4n + -4n Combine like terms: 8n + -4n = 4n -20 + 4n = 8 + 4n + -4n Combine like terms: 4n + -4n = 0 -20 + 4n = 8 + 0 -20 + 4n = 8 Add '20' to each side of the equation. -20 + 20 + 4n = 8 + 20 Combine like terms: -20 + 20 = 0 0 + 4n = 8 + 20 4n = 8 + 20 Combine like terms: 8 + 20 = 28 4n = 28 Divide each side by '4'. n = 7 Simplifying n = 7
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