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Simplifying 5z + 3z = 6z + -3 + -2z Combine like terms: 5z + 3z = 8z 8z = 6z + -3 + -2z Reorder the terms: 8z = -3 + 6z + -2z Combine like terms: 6z + -2z = 4z 8z = -3 + 4z Solving 8z = -3 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 8z + -4z = -3 + 4z + -4z Combine like terms: 8z + -4z = 4z 4z = -3 + 4z + -4z Combine like terms: 4z + -4z = 0 4z = -3 + 0 4z = -3 Divide each side by '4'. z = -0.75 Simplifying z = -0.75
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