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Simplifying 8n + -10 = 5n + -5 Reorder the terms: -10 + 8n = 5n + -5 Reorder the terms: -10 + 8n = -5 + 5n Solving -10 + 8n = -5 + 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. -10 + 8n + -5n = -5 + 5n + -5n Combine like terms: 8n + -5n = 3n -10 + 3n = -5 + 5n + -5n Combine like terms: 5n + -5n = 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 = 5 3n = 5 Divide each side by '3'. n = 1.666666667 Simplifying n = 1.666666667
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