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Simplifying 4 + 8n + -2 = 9n + 50 + -7n Reorder the terms: 4 + -2 + 8n = 9n + 50 + -7n Combine like terms: 4 + -2 = 2 2 + 8n = 9n + 50 + -7n Reorder the terms: 2 + 8n = 50 + 9n + -7n Combine like terms: 9n + -7n = 2n 2 + 8n = 50 + 2n Solving 2 + 8n = 50 + 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. 2 + 8n + -2n = 50 + 2n + -2n Combine like terms: 8n + -2n = 6n 2 + 6n = 50 + 2n + -2n Combine like terms: 2n + -2n = 0 2 + 6n = 50 + 0 2 + 6n = 50 Add '-2' to each side of the equation. 2 + -2 + 6n = 50 + -2 Combine like terms: 2 + -2 = 0 0 + 6n = 50 + -2 6n = 50 + -2 Combine like terms: 50 + -2 = 48 6n = 48 Divide each side by '6'. n = 8 Simplifying n = 8
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