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Simplifying 21 + 2n = 4n + -63 + 5n Reorder the terms: 21 + 2n = -63 + 4n + 5n Combine like terms: 4n + 5n = 9n 21 + 2n = -63 + 9n Solving 21 + 2n = -63 + 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. 21 + 2n + -9n = -63 + 9n + -9n Combine like terms: 2n + -9n = -7n 21 + -7n = -63 + 9n + -9n Combine like terms: 9n + -9n = 0 21 + -7n = -63 + 0 21 + -7n = -63 Add '-21' to each side of the equation. 21 + -21 + -7n = -63 + -21 Combine like terms: 21 + -21 = 0 0 + -7n = -63 + -21 -7n = -63 + -21 Combine like terms: -63 + -21 = -84 -7n = -84 Divide each side by '-7'. n = 12 Simplifying n = 12
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