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Simplifying 2(2n + -4) = (8n + 1) + 5 Reorder the terms: 2(-4 + 2n) = (8n + 1) + 5 (-4 * 2 + 2n * 2) = (8n + 1) + 5 (-8 + 4n) = (8n + 1) + 5 Reorder the terms: -8 + 4n = (1 + 8n) + 5 Remove parenthesis around (1 + 8n) -8 + 4n = 1 + 8n + 5 Reorder the terms: -8 + 4n = 1 + 5 + 8n Combine like terms: 1 + 5 = 6 -8 + 4n = 6 + 8n Solving -8 + 4n = 6 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. -8 + 4n + -8n = 6 + 8n + -8n Combine like terms: 4n + -8n = -4n -8 + -4n = 6 + 8n + -8n Combine like terms: 8n + -8n = 0 -8 + -4n = 6 + 0 -8 + -4n = 6 Add '8' to each side of the equation. -8 + 8 + -4n = 6 + 8 Combine like terms: -8 + 8 = 0 0 + -4n = 6 + 8 -4n = 6 + 8 Combine like terms: 6 + 8 = 14 -4n = 14 Divide each side by '-4'. n = -3.5 Simplifying n = -3.5
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