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Simplifying -8z + 7z = 9z + 7 + -7z Combine like terms: -8z + 7z = -1z -1z = 9z + 7 + -7z Reorder the terms: -1z = 7 + 9z + -7z Combine like terms: 9z + -7z = 2z -1z = 7 + 2z Solving -1z = 7 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. -1z + -2z = 7 + 2z + -2z Combine like terms: -1z + -2z = -3z -3z = 7 + 2z + -2z Combine like terms: 2z + -2z = 0 -3z = 7 + 0 -3z = 7 Divide each side by '-3'. z = -2.333333333 Simplifying z = -2.333333333
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