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Simplifying -9n + 57 = -4n + 82 Reorder the terms: 57 + -9n = -4n + 82 Reorder the terms: 57 + -9n = 82 + -4n Solving 57 + -9n = 82 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. 57 + -9n + 4n = 82 + -4n + 4n Combine like terms: -9n + 4n = -5n 57 + -5n = 82 + -4n + 4n Combine like terms: -4n + 4n = 0 57 + -5n = 82 + 0 57 + -5n = 82 Add '-57' to each side of the equation. 57 + -57 + -5n = 82 + -57 Combine like terms: 57 + -57 = 0 0 + -5n = 82 + -57 -5n = 82 + -57 Combine like terms: 82 + -57 = 25 -5n = 25 Divide each side by '-5'. n = -5 Simplifying n = -5
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