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Simplifying 2n + 4(n + -5) = 46 Reorder the terms: 2n + 4(-5 + n) = 46 2n + (-5 * 4 + n * 4) = 46 2n + (-20 + 4n) = 46 Reorder the terms: -20 + 2n + 4n = 46 Combine like terms: 2n + 4n = 6n -20 + 6n = 46 Solving -20 + 6n = 46 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 6n = 46 + 20 Combine like terms: -20 + 20 = 0 0 + 6n = 46 + 20 6n = 46 + 20 Combine like terms: 46 + 20 = 66 6n = 66 Divide each side by '6'. n = 11 Simplifying n = 11
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