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Simplifying 8 + 32n = 31n + 17 Reorder the terms: 8 + 32n = 17 + 31n Solving 8 + 32n = 17 + 31n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-31n' to each side of the equation. 8 + 32n + -31n = 17 + 31n + -31n Combine like terms: 32n + -31n = 1n 8 + 1n = 17 + 31n + -31n Combine like terms: 31n + -31n = 0 8 + 1n = 17 + 0 8 + 1n = 17 Add '-8' to each side of the equation. 8 + -8 + 1n = 17 + -8 Combine like terms: 8 + -8 = 0 0 + 1n = 17 + -8 1n = 17 + -8 Combine like terms: 17 + -8 = 9 1n = 9 Divide each side by '1'. n = 9 Simplifying n = 9
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