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Simplifying 7 + 8n + -2 = 1 + 3n + -6 + -12 Reorder the terms: 7 + -2 + 8n = 1 + 3n + -6 + -12 Combine like terms: 7 + -2 = 5 5 + 8n = 1 + 3n + -6 + -12 Reorder the terms: 5 + 8n = 1 + -6 + -12 + 3n Combine like terms: 1 + -6 = -5 5 + 8n = -5 + -12 + 3n Combine like terms: -5 + -12 = -17 5 + 8n = -17 + 3n Solving 5 + 8n = -17 + 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. 5 + 8n + -3n = -17 + 3n + -3n Combine like terms: 8n + -3n = 5n 5 + 5n = -17 + 3n + -3n Combine like terms: 3n + -3n = 0 5 + 5n = -17 + 0 5 + 5n = -17 Add '-5' to each side of the equation. 5 + -5 + 5n = -17 + -5 Combine like terms: 5 + -5 = 0 0 + 5n = -17 + -5 5n = -17 + -5 Combine like terms: -17 + -5 = -22 5n = -22 Divide each side by '5'. n = -4.4 Simplifying n = -4.4
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