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Simplifying -5n + 8 = 3n + -6 Reorder the terms: 8 + -5n = 3n + -6 Reorder the terms: 8 + -5n = -6 + 3n Solving 8 + -5n = -6 + 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. 8 + -5n + -3n = -6 + 3n + -3n Combine like terms: -5n + -3n = -8n 8 + -8n = -6 + 3n + -3n Combine like terms: 3n + -3n = 0 8 + -8n = -6 + 0 8 + -8n = -6 Add '-8' to each side of the equation. 8 + -8 + -8n = -6 + -8 Combine like terms: 8 + -8 = 0 0 + -8n = -6 + -8 -8n = -6 + -8 Combine like terms: -6 + -8 = -14 -8n = -14 Divide each side by '-8'. n = 1.75 Simplifying n = 1.75
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