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Simplifying -3 + 6 + 5n = 7n + -8n + 9 Combine like terms: -3 + 6 = 3 3 + 5n = 7n + -8n + 9 Reorder the terms: 3 + 5n = 9 + 7n + -8n Combine like terms: 7n + -8n = -1n 3 + 5n = 9 + -1n Solving 3 + 5n = 9 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. 3 + 5n + n = 9 + -1n + n Combine like terms: 5n + n = 6n 3 + 6n = 9 + -1n + n Combine like terms: -1n + n = 0 3 + 6n = 9 + 0 3 + 6n = 9 Add '-3' to each side of the equation. 3 + -3 + 6n = 9 + -3 Combine like terms: 3 + -3 = 0 0 + 6n = 9 + -3 6n = 9 + -3 Combine like terms: 9 + -3 = 6 6n = 6 Divide each side by '6'. n = 1 Simplifying n = 1
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