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Simplifying 8n + 2 + -5n = 10 + n Reorder the terms: 2 + 8n + -5n = 10 + n Combine like terms: 8n + -5n = 3n 2 + 3n = 10 + n Solving 2 + 3n = 10 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 2 + 3n + -1n = 10 + n + -1n Combine like terms: 3n + -1n = 2n 2 + 2n = 10 + n + -1n Combine like terms: n + -1n = 0 2 + 2n = 10 + 0 2 + 2n = 10 Add '-2' to each side of the equation. 2 + -2 + 2n = 10 + -2 Combine like terms: 2 + -2 = 0 0 + 2n = 10 + -2 2n = 10 + -2 Combine like terms: 10 + -2 = 8 2n = 8 Divide each side by '2'. n = 4 Simplifying n = 4
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