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Simplifying 8 + 6n = 32 + -2n Solving 8 + 6n = 32 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. 8 + 6n + 2n = 32 + -2n + 2n Combine like terms: 6n + 2n = 8n 8 + 8n = 32 + -2n + 2n Combine like terms: -2n + 2n = 0 8 + 8n = 32 + 0 8 + 8n = 32 Add '-8' to each side of the equation. 8 + -8 + 8n = 32 + -8 Combine like terms: 8 + -8 = 0 0 + 8n = 32 + -8 8n = 32 + -8 Combine like terms: 32 + -8 = 24 8n = 24 Divide each side by '8'. n = 3 Simplifying n = 3
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