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Simplifying 9 + 2n + -4 = 9n + 33 + -3n Reorder the terms: 9 + -4 + 2n = 9n + 33 + -3n Combine like terms: 9 + -4 = 5 5 + 2n = 9n + 33 + -3n Reorder the terms: 5 + 2n = 33 + 9n + -3n Combine like terms: 9n + -3n = 6n 5 + 2n = 33 + 6n Solving 5 + 2n = 33 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 5 + 2n + -6n = 33 + 6n + -6n Combine like terms: 2n + -6n = -4n 5 + -4n = 33 + 6n + -6n Combine like terms: 6n + -6n = 0 5 + -4n = 33 + 0 5 + -4n = 33 Add '-5' to each side of the equation. 5 + -5 + -4n = 33 + -5 Combine like terms: 5 + -5 = 0 0 + -4n = 33 + -5 -4n = 33 + -5 Combine like terms: 33 + -5 = 28 -4n = 28 Divide each side by '-4'. n = -7 Simplifying n = -7
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