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Simplifying 6n + 2n = 2(3n + -6) + -1(3n + 3) Combine like terms: 6n + 2n = 8n 8n = 2(3n + -6) + -1(3n + 3) Reorder the terms: 8n = 2(-6 + 3n) + -1(3n + 3) 8n = (-6 * 2 + 3n * 2) + -1(3n + 3) 8n = (-12 + 6n) + -1(3n + 3) Reorder the terms: 8n = -12 + 6n + -1(3 + 3n) 8n = -12 + 6n + (3 * -1 + 3n * -1) 8n = -12 + 6n + (-3 + -3n) Reorder the terms: 8n = -12 + -3 + 6n + -3n Combine like terms: -12 + -3 = -15 8n = -15 + 6n + -3n Combine like terms: 6n + -3n = 3n 8n = -15 + 3n Solving 8n = -15 + 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. 8n + -3n = -15 + 3n + -3n Combine like terms: 8n + -3n = 5n 5n = -15 + 3n + -3n Combine like terms: 3n + -3n = 0 5n = -15 + 0 5n = -15 Divide each side by '5'. n = -3 Simplifying n = -3
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