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Simplifying -5n + 3 + 8n = 2(4n + -6) Reorder the terms: 3 + -5n + 8n = 2(4n + -6) Combine like terms: -5n + 8n = 3n 3 + 3n = 2(4n + -6) Reorder the terms: 3 + 3n = 2(-6 + 4n) 3 + 3n = (-6 * 2 + 4n * 2) 3 + 3n = (-12 + 8n) Solving 3 + 3n = -12 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. 3 + 3n + -8n = -12 + 8n + -8n Combine like terms: 3n + -8n = -5n 3 + -5n = -12 + 8n + -8n Combine like terms: 8n + -8n = 0 3 + -5n = -12 + 0 3 + -5n = -12 Add '-3' to each side of the equation. 3 + -3 + -5n = -12 + -3 Combine like terms: 3 + -3 = 0 0 + -5n = -12 + -3 -5n = -12 + -3 Combine like terms: -12 + -3 = -15 -5n = -15 Divide each side by '-5'. n = 3 Simplifying n = 3
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