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Simplifying 1 = 3z + 10z + -6z Combine like terms: 3z + 10z = 13z 1 = 13z + -6z Combine like terms: 13z + -6z = 7z 1 = 7z Solving 1 = 7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7z' to each side of the equation. 1 + -7z = 7z + -7z Combine like terms: 7z + -7z = 0 1 + -7z = 0 Add '-1' to each side of the equation. 1 + -1 + -7z = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -7z = 0 + -1 -7z = 0 + -1 Combine like terms: 0 + -1 = -1 -7z = -1 Divide each side by '-7'. z = 0.1428571429 Simplifying z = 0.1428571429
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