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Simplifying -34 = 3n + 2 + -5n Reorder the terms: -34 = 2 + 3n + -5n Combine like terms: 3n + -5n = -2n -34 = 2 + -2n Solving -34 = 2 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. -34 + 2n = 2 + -2n + 2n Combine like terms: -2n + 2n = 0 -34 + 2n = 2 + 0 -34 + 2n = 2 Add '34' to each side of the equation. -34 + 34 + 2n = 2 + 34 Combine like terms: -34 + 34 = 0 0 + 2n = 2 + 34 2n = 2 + 34 Combine like terms: 2 + 34 = 36 2n = 36 Divide each side by '2'. n = 18 Simplifying n = 18
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