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Simplifying 4(2n + -4) = (4n + 6) + 6 Reorder the terms: 4(-4 + 2n) = (4n + 6) + 6 (-4 * 4 + 2n * 4) = (4n + 6) + 6 (-16 + 8n) = (4n + 6) + 6 Reorder the terms: -16 + 8n = (6 + 4n) + 6 Remove parenthesis around (6 + 4n) -16 + 8n = 6 + 4n + 6 Reorder the terms: -16 + 8n = 6 + 6 + 4n Combine like terms: 6 + 6 = 12 -16 + 8n = 12 + 4n Solving -16 + 8n = 12 + 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 = 12 + 4n + -4n Combine like terms: 8n + -4n = 4n -16 + 4n = 12 + 4n + -4n Combine like terms: 4n + -4n = 0 -16 + 4n = 12 + 0 -16 + 4n = 12 Add '16' to each side of the equation. -16 + 16 + 4n = 12 + 16 Combine like terms: -16 + 16 = 0 0 + 4n = 12 + 16 4n = 12 + 16 Combine like terms: 12 + 16 = 28 4n = 28 Divide each side by '4'. n = 7 Simplifying n = 7
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