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Simplifying 6n + 5(n + -5) = 52 Reorder the terms: 6n + 5(-5 + n) = 52 6n + (-5 * 5 + n * 5) = 52 6n + (-25 + 5n) = 52 Reorder the terms: -25 + 6n + 5n = 52 Combine like terms: 6n + 5n = 11n -25 + 11n = 52 Solving -25 + 11n = 52 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 11n = 52 + 25 Combine like terms: -25 + 25 = 0 0 + 11n = 52 + 25 11n = 52 + 25 Combine like terms: 52 + 25 = 77 11n = 77 Divide each side by '11'. n = 7 Simplifying n = 7
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