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Simplifying 2 + -3n = 12 + 5n Solving 2 + -3n = 12 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 2 + -3n + -5n = 12 + 5n + -5n Combine like terms: -3n + -5n = -8n 2 + -8n = 12 + 5n + -5n Combine like terms: 5n + -5n = 0 2 + -8n = 12 + 0 2 + -8n = 12 Add '-2' to each side of the equation. 2 + -2 + -8n = 12 + -2 Combine like terms: 2 + -2 = 0 0 + -8n = 12 + -2 -8n = 12 + -2 Combine like terms: 12 + -2 = 10 -8n = 10 Divide each side by '-8'. n = -1.25 Simplifying n = -1.25
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