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Simplifying 3n + -34 = 2(1 + -3n) Reorder the terms: -34 + 3n = 2(1 + -3n) -34 + 3n = (1 * 2 + -3n * 2) -34 + 3n = (2 + -6n) Solving -34 + 3n = 2 + -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. -34 + 3n + 6n = 2 + -6n + 6n Combine like terms: 3n + 6n = 9n -34 + 9n = 2 + -6n + 6n Combine like terms: -6n + 6n = 0 -34 + 9n = 2 + 0 -34 + 9n = 2 Add '34' to each side of the equation. -34 + 34 + 9n = 2 + 34 Combine like terms: -34 + 34 = 0 0 + 9n = 2 + 34 9n = 2 + 34 Combine like terms: 2 + 34 = 36 9n = 36 Divide each side by '9'. n = 4 Simplifying n = 4
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