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Simplifying -3n + 4 = 6n + -14 Reorder the terms: 4 + -3n = 6n + -14 Reorder the terms: 4 + -3n = -14 + 6n Solving 4 + -3n = -14 + 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. 4 + -3n + -6n = -14 + 6n + -6n Combine like terms: -3n + -6n = -9n 4 + -9n = -14 + 6n + -6n Combine like terms: 6n + -6n = 0 4 + -9n = -14 + 0 4 + -9n = -14 Add '-4' to each side of the equation. 4 + -4 + -9n = -14 + -4 Combine like terms: 4 + -4 = 0 0 + -9n = -14 + -4 -9n = -14 + -4 Combine like terms: -14 + -4 = -18 -9n = -18 Divide each side by '-9'. n = 2 Simplifying n = 2
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