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Simplifying 9n + 21 = 7n + -2(n + -2) Reorder the terms: 21 + 9n = 7n + -2(n + -2) Reorder the terms: 21 + 9n = 7n + -2(-2 + n) 21 + 9n = 7n + (-2 * -2 + n * -2) 21 + 9n = 7n + (4 + -2n) Reorder the terms: 21 + 9n = 4 + 7n + -2n Combine like terms: 7n + -2n = 5n 21 + 9n = 4 + 5n Solving 21 + 9n = 4 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 21 + 9n + -5n = 4 + 5n + -5n Combine like terms: 9n + -5n = 4n 21 + 4n = 4 + 5n + -5n Combine like terms: 5n + -5n = 0 21 + 4n = 4 + 0 21 + 4n = 4 Add '-21' to each side of the equation. 21 + -21 + 4n = 4 + -21 Combine like terms: 21 + -21 = 0 0 + 4n = 4 + -21 4n = 4 + -21 Combine like terms: 4 + -21 = -17 4n = -17 Divide each side by '4'. n = -4.25 Simplifying n = -4.25
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