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Simplifying 4 + -5n = 3n + -12 Reorder the terms: 4 + -5n = -12 + 3n Solving 4 + -5n = -12 + 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 + -5n + -3n = -12 + 3n + -3n Combine like terms: -5n + -3n = -8n 4 + -8n = -12 + 3n + -3n Combine like terms: 3n + -3n = 0 4 + -8n = -12 + 0 4 + -8n = -12 Add '-4' to each side of the equation. 4 + -4 + -8n = -12 + -4 Combine like terms: 4 + -4 = 0 0 + -8n = -12 + -4 -8n = -12 + -4 Combine like terms: -12 + -4 = -16 -8n = -16 Divide each side by '-8'. n = 2 Simplifying n = 2
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