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Simplifying -4z + 3z = 6z + -5 + 3z Combine like terms: -4z + 3z = -1z -1z = 6z + -5 + 3z Reorder the terms: -1z = -5 + 6z + 3z Combine like terms: 6z + 3z = 9z -1z = -5 + 9z Solving -1z = -5 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. -1z + -9z = -5 + 9z + -9z Combine like terms: -1z + -9z = -10z -10z = -5 + 9z + -9z Combine like terms: 9z + -9z = 0 -10z = -5 + 0 -10z = -5 Divide each side by '-10'. z = 0.5 Simplifying z = 0.5
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