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Simplifying 4(n + 2) = 14 + -2(3 + -4n) Reorder the terms: 4(2 + n) = 14 + -2(3 + -4n) (2 * 4 + n * 4) = 14 + -2(3 + -4n) (8 + 4n) = 14 + -2(3 + -4n) 8 + 4n = 14 + (3 * -2 + -4n * -2) 8 + 4n = 14 + (-6 + 8n) Combine like terms: 14 + -6 = 8 8 + 4n = 8 + 8n Add '-8' to each side of the equation. 8 + -8 + 4n = 8 + -8 + 8n Combine like terms: 8 + -8 = 0 0 + 4n = 8 + -8 + 8n 4n = 8 + -8 + 8n Combine like terms: 8 + -8 = 0 4n = 0 + 8n 4n = 8n Solving 4n = 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. 4n + -8n = 8n + -8n Combine like terms: 4n + -8n = -4n -4n = 8n + -8n Combine like terms: 8n + -8n = 0 -4n = 0 Divide each side by '-4'. n = 0 Simplifying n = 0
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