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Simplifying 5z + -3z = 6z + 8 + -2z Combine like terms: 5z + -3z = 2z 2z = 6z + 8 + -2z Reorder the terms: 2z = 8 + 6z + -2z Combine like terms: 6z + -2z = 4z 2z = 8 + 4z Solving 2z = 8 + 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. 2z + -4z = 8 + 4z + -4z Combine like terms: 2z + -4z = -2z -2z = 8 + 4z + -4z Combine like terms: 4z + -4z = 0 -2z = 8 + 0 -2z = 8 Divide each side by '-2'. z = -4 Simplifying z = -4
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