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Simplifying 6z + z = 0.4 + 2.6 + 4z Combine like terms: 6z + z = 7z 7z = 0.4 + 2.6 + 4z Combine like terms: 0.4 + 2.6 = 3 7z = 3 + 4z Solving 7z = 3 + 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. 7z + -4z = 3 + 4z + -4z Combine like terms: 7z + -4z = 3z 3z = 3 + 4z + -4z Combine like terms: 4z + -4z = 0 3z = 3 + 0 3z = 3 Divide each side by '3'. z = 1 Simplifying z = 1
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