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Simplifying 3 + 3 + (4n + 1) + (4n + 1) = 0 Reorder the terms: 3 + 3 + (1 + 4n) + (4n + 1) = 0 Remove parenthesis around (1 + 4n) 3 + 3 + 1 + 4n + (4n + 1) = 0 Reorder the terms: 3 + 3 + 1 + 4n + (1 + 4n) = 0 Remove parenthesis around (1 + 4n) 3 + 3 + 1 + 4n + 1 + 4n = 0 Reorder the terms: 3 + 3 + 1 + 1 + 4n + 4n = 0 Combine like terms: 3 + 3 = 6 6 + 1 + 1 + 4n + 4n = 0 Combine like terms: 6 + 1 = 7 7 + 1 + 4n + 4n = 0 Combine like terms: 7 + 1 = 8 8 + 4n + 4n = 0 Combine like terms: 4n + 4n = 8n 8 + 8n = 0 Solving 8 + 8n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 8n = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 8n = 0 + -8 8n = 0 + -8 Combine like terms: 0 + -8 = -8 8n = -8 Divide each side by '8'. n = -1 Simplifying n = -1
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