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Simplifying 31 = 6n + 1 Reorder the terms: 31 = 1 + 6n Solving 31 = 1 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 31 + -6n = 1 + 6n + -6n Combine like terms: 6n + -6n = 0 31 + -6n = 1 + 0 31 + -6n = 1 Add '-31' to each side of the equation. 31 + -31 + -6n = 1 + -31 Combine like terms: 31 + -31 = 0 0 + -6n = 1 + -31 -6n = 1 + -31 Combine like terms: 1 + -31 = -30 -6n = -30 Divide each side by '-6'. n = 5 Simplifying n = 5
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