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Simplifying 7Z + 4 + -5Z = 46 + -5Z Reorder the terms: 4 + 7Z + -5Z = 46 + -5Z Combine like terms: 7Z + -5Z = 2Z 4 + 2Z = 46 + -5Z Solving 4 + 2Z = 46 + -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. 4 + 2Z + 5Z = 46 + -5Z + 5Z Combine like terms: 2Z + 5Z = 7Z 4 + 7Z = 46 + -5Z + 5Z Combine like terms: -5Z + 5Z = 0 4 + 7Z = 46 + 0 4 + 7Z = 46 Add '-4' to each side of the equation. 4 + -4 + 7Z = 46 + -4 Combine like terms: 4 + -4 = 0 0 + 7Z = 46 + -4 7Z = 46 + -4 Combine like terms: 46 + -4 = 42 7Z = 42 Divide each side by '7'. Z = 6 Simplifying Z = 6
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