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Simplifying 9Z + 21 = -6Z + 96 Reorder the terms: 21 + 9Z = -6Z + 96 Reorder the terms: 21 + 9Z = 96 + -6Z Solving 21 + 9Z = 96 + -6Z Solving for variable 'Z'. Move all terms containing Z to the left, all other terms to the right. Add '6Z' to each side of the equation. 21 + 9Z + 6Z = 96 + -6Z + 6Z Combine like terms: 9Z + 6Z = 15Z 21 + 15Z = 96 + -6Z + 6Z Combine like terms: -6Z + 6Z = 0 21 + 15Z = 96 + 0 21 + 15Z = 96 Add '-21' to each side of the equation. 21 + -21 + 15Z = 96 + -21 Combine like terms: 21 + -21 = 0 0 + 15Z = 96 + -21 15Z = 96 + -21 Combine like terms: 96 + -21 = 75 15Z = 75 Divide each side by '15'. Z = 5 Simplifying Z = 5
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