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Simplifying 3z + -4z = -4z + 5 + 8z Combine like terms: 3z + -4z = -1z -1z = -4z + 5 + 8z Reorder the terms: -1z = 5 + -4z + 8z Combine like terms: -4z + 8z = 4z -1z = 5 + 4z Solving -1z = 5 + 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. -1z + -4z = 5 + 4z + -4z Combine like terms: -1z + -4z = -5z -5z = 5 + 4z + -4z Combine like terms: 4z + -4z = 0 -5z = 5 + 0 -5z = 5 Divide each side by '-5'. z = -1 Simplifying z = -1
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