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Simplifying 2n + 7 = 21 + 9n Reorder the terms: 7 + 2n = 21 + 9n Solving 7 + 2n = 21 + 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. 7 + 2n + -9n = 21 + 9n + -9n Combine like terms: 2n + -9n = -7n 7 + -7n = 21 + 9n + -9n Combine like terms: 9n + -9n = 0 7 + -7n = 21 + 0 7 + -7n = 21 Add '-7' to each side of the equation. 7 + -7 + -7n = 21 + -7 Combine like terms: 7 + -7 = 0 0 + -7n = 21 + -7 -7n = 21 + -7 Combine like terms: 21 + -7 = 14 -7n = 14 Divide each side by '-7'. n = -2 Simplifying n = -2
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