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Simplifying 4(2n + -4) = (4n + 1) + 9 Reorder the terms: 4(-4 + 2n) = (4n + 1) + 9 (-4 * 4 + 2n * 4) = (4n + 1) + 9 (-16 + 8n) = (4n + 1) + 9 Reorder the terms: -16 + 8n = (1 + 4n) + 9 Remove parenthesis around (1 + 4n) -16 + 8n = 1 + 4n + 9 Reorder the terms: -16 + 8n = 1 + 9 + 4n Combine like terms: 1 + 9 = 10 -16 + 8n = 10 + 4n Solving -16 + 8n = 10 + 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. -16 + 8n + -4n = 10 + 4n + -4n Combine like terms: 8n + -4n = 4n -16 + 4n = 10 + 4n + -4n Combine like terms: 4n + -4n = 0 -16 + 4n = 10 + 0 -16 + 4n = 10 Add '16' to each side of the equation. -16 + 16 + 4n = 10 + 16 Combine like terms: -16 + 16 = 0 0 + 4n = 10 + 16 4n = 10 + 16 Combine like terms: 10 + 16 = 26 4n = 26 Divide each side by '4'. n = 6.5 Simplifying n = 6.5
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