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Simplifying -10 + 5n = 5 + 8n Solving -10 + 5n = 5 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. -10 + 5n + -8n = 5 + 8n + -8n Combine like terms: 5n + -8n = -3n -10 + -3n = 5 + 8n + -8n Combine like terms: 8n + -8n = 0 -10 + -3n = 5 + 0 -10 + -3n = 5 Add '10' to each side of the equation. -10 + 10 + -3n = 5 + 10 Combine like terms: -10 + 10 = 0 0 + -3n = 5 + 10 -3n = 5 + 10 Combine like terms: 5 + 10 = 15 -3n = 15 Divide each side by '-3'. n = -5 Simplifying n = -5
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