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Simplifying -6z + -7z = 5z + 9 + 7z Combine like terms: -6z + -7z = -13z -13z = 5z + 9 + 7z Reorder the terms: -13z = 9 + 5z + 7z Combine like terms: 5z + 7z = 12z -13z = 9 + 12z Solving -13z = 9 + 12z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-12z' to each side of the equation. -13z + -12z = 9 + 12z + -12z Combine like terms: -13z + -12z = -25z -25z = 9 + 12z + -12z Combine like terms: 12z + -12z = 0 -25z = 9 + 0 -25z = 9 Divide each side by '-25'. z = -0.36 Simplifying z = -0.36
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