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Simplifying 2z + -8z = 5z + 6 + 2z Combine like terms: 2z + -8z = -6z -6z = 5z + 6 + 2z Reorder the terms: -6z = 6 + 5z + 2z Combine like terms: 5z + 2z = 7z -6z = 6 + 7z Solving -6z = 6 + 7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7z' to each side of the equation. -6z + -7z = 6 + 7z + -7z Combine like terms: -6z + -7z = -13z -13z = 6 + 7z + -7z Combine like terms: 7z + -7z = 0 -13z = 6 + 0 -13z = 6 Divide each side by '-13'. z = -0.4615384615 Simplifying z = -0.4615384615
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