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Simplifying 16n + 4(5n + -9) = 420 Reorder the terms: 16n + 4(-9 + 5n) = 420 16n + (-9 * 4 + 5n * 4) = 420 16n + (-36 + 20n) = 420 Reorder the terms: -36 + 16n + 20n = 420 Combine like terms: 16n + 20n = 36n -36 + 36n = 420 Solving -36 + 36n = 420 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 36n = 420 + 36 Combine like terms: -36 + 36 = 0 0 + 36n = 420 + 36 36n = 420 + 36 Combine like terms: 420 + 36 = 456 36n = 456 Divide each side by '36'. n = 12.66666667 Simplifying n = 12.66666667
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