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Simplifying 5 + -9n + 5n = 27 + -82 Combine like terms: -9n + 5n = -4n 5 + -4n = 27 + -82 Combine like terms: 27 + -82 = -55 5 + -4n = -55 Solving 5 + -4n = -55 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -4n = -55 + -5 Combine like terms: 5 + -5 = 0 0 + -4n = -55 + -5 -4n = -55 + -5 Combine like terms: -55 + -5 = -60 -4n = -60 Divide each side by '-4'. n = 15 Simplifying n = 15
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