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Simplifying -3z + -5z = 8z + 2 + 5z Combine like terms: -3z + -5z = -8z -8z = 8z + 2 + 5z Reorder the terms: -8z = 2 + 8z + 5z Combine like terms: 8z + 5z = 13z -8z = 2 + 13z Solving -8z = 2 + 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. -8z + -13z = 2 + 13z + -13z Combine like terms: -8z + -13z = -21z -21z = 2 + 13z + -13z Combine like terms: 13z + -13z = 0 -21z = 2 + 0 -21z = 2 Divide each side by '-21'. z = -0.09523809524 Simplifying z = -0.09523809524
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