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Simplifying (Z) + -7(z) = 6(z) + -7 + -1(z) Z + -7(z) = 6(z) + -7 + -1(z) Reorder the terms: Z + -7z = -7 + 6z + -1z Combine like terms: 6z + -1z = 5z Z + -7z = -7 + 5z Solving Z + -7z = -7 + 5z Solving for variable 'Z'. Move all terms containing Z to the left, all other terms to the right. Add '7z' to each side of the equation. Z + -7z + 7z = -7 + 5z + 7z Combine like terms: -7z + 7z = 0 Z + 0 = -7 + 5z + 7z Z = -7 + 5z + 7z Combine like terms: 5z + 7z = 12z Z = -7 + 12z Simplifying Z = -7 + 12z
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