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Simplifying 5n + 6(n + -4) = 31 Reorder the terms: 5n + 6(-4 + n) = 31 5n + (-4 * 6 + n * 6) = 31 5n + (-24 + 6n) = 31 Reorder the terms: -24 + 5n + 6n = 31 Combine like terms: 5n + 6n = 11n -24 + 11n = 31 Solving -24 + 11n = 31 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 11n = 31 + 24 Combine like terms: -24 + 24 = 0 0 + 11n = 31 + 24 11n = 31 + 24 Combine like terms: 31 + 24 = 55 11n = 55 Divide each side by '11'. n = 5 Simplifying n = 5
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