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Simplifying 8n + 2 = -3 + 3n Reorder the terms: 2 + 8n = -3 + 3n Solving 2 + 8n = -3 + 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. 2 + 8n + -3n = -3 + 3n + -3n Combine like terms: 8n + -3n = 5n 2 + 5n = -3 + 3n + -3n Combine like terms: 3n + -3n = 0 2 + 5n = -3 + 0 2 + 5n = -3 Add '-2' to each side of the equation. 2 + -2 + 5n = -3 + -2 Combine like terms: 2 + -2 = 0 0 + 5n = -3 + -2 5n = -3 + -2 Combine like terms: -3 + -2 = -5 5n = -5 Divide each side by '5'. n = -1 Simplifying n = -1
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