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Simplifying 2z + 4z + -1z = 30 + -1z Combine like terms: 2z + 4z = 6z 6z + -1z = 30 + -1z Combine like terms: 6z + -1z = 5z 5z = 30 + -1z Solving 5z = 30 + -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. 5z + z = 30 + -1z + z Combine like terms: 5z + z = 6z 6z = 30 + -1z + z Combine like terms: -1z + z = 0 6z = 30 + 0 6z = 30 Divide each side by '6'. z = 5 Simplifying z = 5
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