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Simplifying 27 + 5n = -4n + 36 Reorder the terms: 27 + 5n = 36 + -4n Solving 27 + 5n = 36 + -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. 27 + 5n + 4n = 36 + -4n + 4n Combine like terms: 5n + 4n = 9n 27 + 9n = 36 + -4n + 4n Combine like terms: -4n + 4n = 0 27 + 9n = 36 + 0 27 + 9n = 36 Add '-27' to each side of the equation. 27 + -27 + 9n = 36 + -27 Combine like terms: 27 + -27 = 0 0 + 9n = 36 + -27 9n = 36 + -27 Combine like terms: 36 + -27 = 9 9n = 9 Divide each side by '9'. n = 1 Simplifying n = 1
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