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Simplifying 9 + 3n + -8 = 8n + 1 + -2n Reorder the terms: 9 + -8 + 3n = 8n + 1 + -2n Combine like terms: 9 + -8 = 1 1 + 3n = 8n + 1 + -2n Reorder the terms: 1 + 3n = 1 + 8n + -2n Combine like terms: 8n + -2n = 6n 1 + 3n = 1 + 6n Add '-1' to each side of the equation. 1 + -1 + 3n = 1 + -1 + 6n Combine like terms: 1 + -1 = 0 0 + 3n = 1 + -1 + 6n 3n = 1 + -1 + 6n Combine like terms: 1 + -1 = 0 3n = 0 + 6n 3n = 6n Solving 3n = 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 3n + -6n = 6n + -6n Combine like terms: 3n + -6n = -3n -3n = 6n + -6n Combine like terms: 6n + -6n = 0 -3n = 0 Divide each side by '-3'. n = 0 Simplifying n = 0
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