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Simplifying 3z + -1 = 5 + -4z Reorder the terms: -1 + 3z = 5 + -4z Solving -1 + 3z = 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. -1 + 3z + 4z = 5 + -4z + 4z Combine like terms: 3z + 4z = 7z -1 + 7z = 5 + -4z + 4z Combine like terms: -4z + 4z = 0 -1 + 7z = 5 + 0 -1 + 7z = 5 Add '1' to each side of the equation. -1 + 1 + 7z = 5 + 1 Combine like terms: -1 + 1 = 0 0 + 7z = 5 + 1 7z = 5 + 1 Combine like terms: 5 + 1 = 6 7z = 6 Divide each side by '7'. z = 0.8571428571 Simplifying z = 0.8571428571
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