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Simplifying 3Z + -24 = -42 + Z Reorder the terms: -24 + 3Z = -42 + Z Solving -24 + 3Z = -42 + Z Solving for variable 'Z'. Move all terms containing Z to the left, all other terms to the right. Add '-1Z' to each side of the equation. -24 + 3Z + -1Z = -42 + Z + -1Z Combine like terms: 3Z + -1Z = 2Z -24 + 2Z = -42 + Z + -1Z Combine like terms: Z + -1Z = 0 -24 + 2Z = -42 + 0 -24 + 2Z = -42 Add '24' to each side of the equation. -24 + 24 + 2Z = -42 + 24 Combine like terms: -24 + 24 = 0 0 + 2Z = -42 + 24 2Z = -42 + 24 Combine like terms: -42 + 24 = -18 2Z = -18 Divide each side by '2'. Z = -9 Simplifying Z = -9
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