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Simplifying 2n + 14 = 6n + -22 Reorder the terms: 14 + 2n = 6n + -22 Reorder the terms: 14 + 2n = -22 + 6n Solving 14 + 2n = -22 + 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. 14 + 2n + -6n = -22 + 6n + -6n Combine like terms: 2n + -6n = -4n 14 + -4n = -22 + 6n + -6n Combine like terms: 6n + -6n = 0 14 + -4n = -22 + 0 14 + -4n = -22 Add '-14' to each side of the equation. 14 + -14 + -4n = -22 + -14 Combine like terms: 14 + -14 = 0 0 + -4n = -22 + -14 -4n = -22 + -14 Combine like terms: -22 + -14 = -36 -4n = -36 Divide each side by '-4'. n = 9 Simplifying n = 9
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