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Simplifying 10n + 12 + -7n + 4n = 31 Reorder the terms: 12 + 10n + -7n + 4n = 31 Combine like terms: 10n + -7n = 3n 12 + 3n + 4n = 31 Combine like terms: 3n + 4n = 7n 12 + 7n = 31 Solving 12 + 7n = 31 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 7n = 31 + -12 Combine like terms: 12 + -12 = 0 0 + 7n = 31 + -12 7n = 31 + -12 Combine like terms: 31 + -12 = 19 7n = 19 Divide each side by '7'. n = 2.714285714 Simplifying n = 2.714285714
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