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Simplifying 8n + -3n + -5 = 10 + 2n + -3 Reorder the terms: -5 + 8n + -3n = 10 + 2n + -3 Combine like terms: 8n + -3n = 5n -5 + 5n = 10 + 2n + -3 Reorder the terms: -5 + 5n = 10 + -3 + 2n Combine like terms: 10 + -3 = 7 -5 + 5n = 7 + 2n Solving -5 + 5n = 7 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -5 + 5n + -2n = 7 + 2n + -2n Combine like terms: 5n + -2n = 3n -5 + 3n = 7 + 2n + -2n Combine like terms: 2n + -2n = 0 -5 + 3n = 7 + 0 -5 + 3n = 7 Add '5' to each side of the equation. -5 + 5 + 3n = 7 + 5 Combine like terms: -5 + 5 = 0 0 + 3n = 7 + 5 3n = 7 + 5 Combine like terms: 7 + 5 = 12 3n = 12 Divide each side by '3'. n = 4 Simplifying n = 4
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