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Simplifying 4 + 2n + -2 = 8n + 12 + -4n Reorder the terms: 4 + -2 + 2n = 8n + 12 + -4n Combine like terms: 4 + -2 = 2 2 + 2n = 8n + 12 + -4n Reorder the terms: 2 + 2n = 12 + 8n + -4n Combine like terms: 8n + -4n = 4n 2 + 2n = 12 + 4n Solving 2 + 2n = 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. 2 + 2n + -4n = 12 + 4n + -4n Combine like terms: 2n + -4n = -2n 2 + -2n = 12 + 4n + -4n Combine like terms: 4n + -4n = 0 2 + -2n = 12 + 0 2 + -2n = 12 Add '-2' to each side of the equation. 2 + -2 + -2n = 12 + -2 Combine like terms: 2 + -2 = 0 0 + -2n = 12 + -2 -2n = 12 + -2 Combine like terms: 12 + -2 = 10 -2n = 10 Divide each side by '-2'. n = -5 Simplifying n = -5
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