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Simplifying 9Z + 36 + -3Z + -12 = 3Z + -6 + 2Z + -4 Reorder the terms: 36 + -12 + 9Z + -3Z = 3Z + -6 + 2Z + -4 Combine like terms: 36 + -12 = 24 24 + 9Z + -3Z = 3Z + -6 + 2Z + -4 Combine like terms: 9Z + -3Z = 6Z 24 + 6Z = 3Z + -6 + 2Z + -4 Reorder the terms: 24 + 6Z = -6 + -4 + 3Z + 2Z Combine like terms: -6 + -4 = -10 24 + 6Z = -10 + 3Z + 2Z Combine like terms: 3Z + 2Z = 5Z 24 + 6Z = -10 + 5Z Solving 24 + 6Z = -10 + 5Z Solving for variable 'Z'. Move all terms containing Z to the left, all other terms to the right. Add '-5Z' to each side of the equation. 24 + 6Z + -5Z = -10 + 5Z + -5Z Combine like terms: 6Z + -5Z = 1Z 24 + 1Z = -10 + 5Z + -5Z Combine like terms: 5Z + -5Z = 0 24 + 1Z = -10 + 0 24 + 1Z = -10 Add '-24' to each side of the equation. 24 + -24 + 1Z = -10 + -24 Combine like terms: 24 + -24 = 0 0 + 1Z = -10 + -24 1Z = -10 + -24 Combine like terms: -10 + -24 = -34 1Z = -34 Divide each side by '1'. Z = -34 Simplifying Z = -34
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