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Simplifying 14n + 34 = -2 + 5n Reorder the terms: 34 + 14n = -2 + 5n Solving 34 + 14n = -2 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 34 + 14n + -5n = -2 + 5n + -5n Combine like terms: 14n + -5n = 9n 34 + 9n = -2 + 5n + -5n Combine like terms: 5n + -5n = 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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