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Simplifying 5z + -7z = 8z + 9 + -7z Combine like terms: 5z + -7z = -2z -2z = 8z + 9 + -7z Reorder the terms: -2z = 9 + 8z + -7z Combine like terms: 8z + -7z = 1z -2z = 9 + 1z Solving -2z = 9 + 1z 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. -2z + -1z = 9 + 1z + -1z Combine like terms: -2z + -1z = -3z -3z = 9 + 1z + -1z Combine like terms: 1z + -1z = 0 -3z = 9 + 0 -3z = 9 Divide each side by '-3'. z = -3 Simplifying z = -3
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