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Simplifying -5z + -3z = 8z + 6 + -3z Combine like terms: -5z + -3z = -8z -8z = 8z + 6 + -3z Reorder the terms: -8z = 6 + 8z + -3z Combine like terms: 8z + -3z = 5z -8z = 6 + 5z Solving -8z = 6 + 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. -8z + -5z = 6 + 5z + -5z Combine like terms: -8z + -5z = -13z -13z = 6 + 5z + -5z Combine like terms: 5z + -5z = 0 -13z = 6 + 0 -13z = 6 Divide each side by '-13'. z = -0.4615384615 Simplifying z = -0.4615384615
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