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Simplifying 9 + 14n + -1 = 8n + 20 + -6n Reorder the terms: 9 + -1 + 14n = 8n + 20 + -6n Combine like terms: 9 + -1 = 8 8 + 14n = 8n + 20 + -6n Reorder the terms: 8 + 14n = 20 + 8n + -6n Combine like terms: 8n + -6n = 2n 8 + 14n = 20 + 2n Solving 8 + 14n = 20 + 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 + 14n + -2n = 20 + 2n + -2n Combine like terms: 14n + -2n = 12n 8 + 12n = 20 + 2n + -2n Combine like terms: 2n + -2n = 0 8 + 12n = 20 + 0 8 + 12n = 20 Add '-8' to each side of the equation. 8 + -8 + 12n = 20 + -8 Combine like terms: 8 + -8 = 0 0 + 12n = 20 + -8 12n = 20 + -8 Combine like terms: 20 + -8 = 12 12n = 12 Divide each side by '12'. n = 1 Simplifying n = 1
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