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Simplifying 6n + -47 = 9 + -8n Reorder the terms: -47 + 6n = 9 + -8n Solving -47 + 6n = 9 + -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. -47 + 6n + 8n = 9 + -8n + 8n Combine like terms: 6n + 8n = 14n -47 + 14n = 9 + -8n + 8n Combine like terms: -8n + 8n = 0 -47 + 14n = 9 + 0 -47 + 14n = 9 Add '47' to each side of the equation. -47 + 47 + 14n = 9 + 47 Combine like terms: -47 + 47 = 0 0 + 14n = 9 + 47 14n = 9 + 47 Combine like terms: 9 + 47 = 56 14n = 56 Divide each side by '14'. n = 4 Simplifying n = 4
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