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Simplifying 7n + 14 = 9n + -8 Reorder the terms: 14 + 7n = 9n + -8 Reorder the terms: 14 + 7n = -8 + 9n Solving 14 + 7n = -8 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. 14 + 7n + -9n = -8 + 9n + -9n Combine like terms: 7n + -9n = -2n 14 + -2n = -8 + 9n + -9n Combine like terms: 9n + -9n = 0 14 + -2n = -8 + 0 14 + -2n = -8 Add '-14' to each side of the equation. 14 + -14 + -2n = -8 + -14 Combine like terms: 14 + -14 = 0 0 + -2n = -8 + -14 -2n = -8 + -14 Combine like terms: -8 + -14 = -22 -2n = -22 Divide each side by '-2'. n = 11 Simplifying n = 11
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