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Simplifying 12z + -6z + -13z = 0 Combine like terms: 12z + -6z = 6z 6z + -13z = 0 Combine like terms: 6z + -13z = -7z -7z = 0 Solving -7z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Divide each side by '-7'. z = 0 Simplifying z = 0
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