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Simplifying 7Z + 16 = 8Z + -6 Reorder the terms: 16 + 7Z = 8Z + -6 Reorder the terms: 16 + 7Z = -6 + 8Z Solving 16 + 7Z = -6 + 8Z Solving for variable 'Z'. Move all terms containing Z to the left, all other terms to the right. Add '-8Z' to each side of the equation. 16 + 7Z + -8Z = -6 + 8Z + -8Z Combine like terms: 7Z + -8Z = -1Z 16 + -1Z = -6 + 8Z + -8Z Combine like terms: 8Z + -8Z = 0 16 + -1Z = -6 + 0 16 + -1Z = -6 Add '-16' to each side of the equation. 16 + -16 + -1Z = -6 + -16 Combine like terms: 16 + -16 = 0 0 + -1Z = -6 + -16 -1Z = -6 + -16 Combine like terms: -6 + -16 = -22 -1Z = -22 Divide each side by '-1'. Z = 22 Simplifying Z = 22
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