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Simplifying -5z + -5z = 6z + 6 + 7z Combine like terms: -5z + -5z = -10z -10z = 6z + 6 + 7z Reorder the terms: -10z = 6 + 6z + 7z Combine like terms: 6z + 7z = 13z -10z = 6 + 13z Solving -10z = 6 + 13z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-13z' to each side of the equation. -10z + -13z = 6 + 13z + -13z Combine like terms: -10z + -13z = -23z -23z = 6 + 13z + -13z Combine like terms: 13z + -13z = 0 -23z = 6 + 0 -23z = 6 Divide each side by '-23'. z = -0.2608695652 Simplifying z = -0.2608695652
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