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Simplifying -3n + -8 = 5n + -31 + -17 Reorder the terms: -8 + -3n = 5n + -31 + -17 Reorder the terms: -8 + -3n = -31 + -17 + 5n Combine like terms: -31 + -17 = -48 -8 + -3n = -48 + 5n Solving -8 + -3n = -48 + 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. -8 + -3n + -5n = -48 + 5n + -5n Combine like terms: -3n + -5n = -8n -8 + -8n = -48 + 5n + -5n Combine like terms: 5n + -5n = 0 -8 + -8n = -48 + 0 -8 + -8n = -48 Add '8' to each side of the equation. -8 + 8 + -8n = -48 + 8 Combine like terms: -8 + 8 = 0 0 + -8n = -48 + 8 -8n = -48 + 8 Combine like terms: -48 + 8 = -40 -8n = -40 Divide each side by '-8'. n = 5 Simplifying n = 5
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