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Simplifying -8z + 3z = 8z + 6 + 3z Combine like terms: -8z + 3z = -5z -5z = 8z + 6 + 3z Reorder the terms: -5z = 6 + 8z + 3z Combine like terms: 8z + 3z = 11z -5z = 6 + 11z Solving -5z = 6 + 11z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-11z' to each side of the equation. -5z + -11z = 6 + 11z + -11z Combine like terms: -5z + -11z = -16z -16z = 6 + 11z + -11z Combine like terms: 11z + -11z = 0 -16z = 6 + 0 -16z = 6 Divide each side by '-16'. z = -0.375 Simplifying z = -0.375
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