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Simplifying -4 + 8n + 6 = 32 + 4n Reorder the terms: -4 + 6 + 8n = 32 + 4n Combine like terms: -4 + 6 = 2 2 + 8n = 32 + 4n Solving 2 + 8n = 32 + 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 + 8n + -4n = 32 + 4n + -4n Combine like terms: 8n + -4n = 4n 2 + 4n = 32 + 4n + -4n Combine like terms: 4n + -4n = 0 2 + 4n = 32 + 0 2 + 4n = 32 Add '-2' to each side of the equation. 2 + -2 + 4n = 32 + -2 Combine like terms: 2 + -2 = 0 0 + 4n = 32 + -2 4n = 32 + -2 Combine like terms: 32 + -2 = 30 4n = 30 Divide each side by '4'. n = 7.5 Simplifying n = 7.5
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