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Simplifying 2z + -7z = 5z + 6 + 2 Combine like terms: 2z + -7z = -5z -5z = 5z + 6 + 2 Reorder the terms: -5z = 6 + 2 + 5z Combine like terms: 6 + 2 = 8 -5z = 8 + 5z Solving -5z = 8 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. -5z + -5z = 8 + 5z + -5z Combine like terms: -5z + -5z = -10z -10z = 8 + 5z + -5z Combine like terms: 5z + -5z = 0 -10z = 8 + 0 -10z = 8 Divide each side by '-10'. z = -0.8 Simplifying z = -0.8
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