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Simplifying 5n + 6 = 33 + -4n Reorder the terms: 6 + 5n = 33 + -4n Solving 6 + 5n = 33 + -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. 6 + 5n + 4n = 33 + -4n + 4n Combine like terms: 5n + 4n = 9n 6 + 9n = 33 + -4n + 4n Combine like terms: -4n + 4n = 0 6 + 9n = 33 + 0 6 + 9n = 33 Add '-6' to each side of the equation. 6 + -6 + 9n = 33 + -6 Combine like terms: 6 + -6 = 0 0 + 9n = 33 + -6 9n = 33 + -6 Combine like terms: 33 + -6 = 27 9n = 27 Divide each side by '9'. n = 3 Simplifying n = 3
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