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Simplifying 4z + -5z = 5z + -3 + -8z Combine like terms: 4z + -5z = -1z -1z = 5z + -3 + -8z Reorder the terms: -1z = -3 + 5z + -8z Combine like terms: 5z + -8z = -3z -1z = -3 + -3z Solving -1z = -3 + -3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3z' to each side of the equation. -1z + 3z = -3 + -3z + 3z Combine like terms: -1z + 3z = 2z 2z = -3 + -3z + 3z Combine like terms: -3z + 3z = 0 2z = -3 + 0 2z = -3 Divide each side by '2'. z = -1.5 Simplifying z = -1.5
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