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Simplifying n + 4 + 7n = -6 + 3n Reorder the terms: 4 + n + 7n = -6 + 3n Combine like terms: n + 7n = 8n 4 + 8n = -6 + 3n Solving 4 + 8n = -6 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 4 + 8n + -3n = -6 + 3n + -3n Combine like terms: 8n + -3n = 5n 4 + 5n = -6 + 3n + -3n Combine like terms: 3n + -3n = 0 4 + 5n = -6 + 0 4 + 5n = -6 Add '-4' to each side of the equation. 4 + -4 + 5n = -6 + -4 Combine like terms: 4 + -4 = 0 0 + 5n = -6 + -4 5n = -6 + -4 Combine like terms: -6 + -4 = -10 5n = -10 Divide each side by '5'. n = -2 Simplifying n = -2
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