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Simplifying 9n + 14 = 2n + -21 Reorder the terms: 14 + 9n = 2n + -21 Reorder the terms: 14 + 9n = -21 + 2n Solving 14 + 9n = -21 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 14 + 9n + -2n = -21 + 2n + -2n Combine like terms: 9n + -2n = 7n 14 + 7n = -21 + 2n + -2n Combine like terms: 2n + -2n = 0 14 + 7n = -21 + 0 14 + 7n = -21 Add '-14' to each side of the equation. 14 + -14 + 7n = -21 + -14 Combine like terms: 14 + -14 = 0 0 + 7n = -21 + -14 7n = -21 + -14 Combine like terms: -21 + -14 = -35 7n = -35 Divide each side by '7'. n = -5 Simplifying n = -5
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