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Simplifying -1z + 35 = 6z Reorder the terms: 35 + -1z = 6z Solving 35 + -1z = 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. 35 + -1z + -6z = 6z + -6z Combine like terms: -1z + -6z = -7z 35 + -7z = 6z + -6z Combine like terms: 6z + -6z = 0 35 + -7z = 0 Add '-35' to each side of the equation. 35 + -35 + -7z = 0 + -35 Combine like terms: 35 + -35 = 0 0 + -7z = 0 + -35 -7z = 0 + -35 Combine like terms: 0 + -35 = -35 -7z = -35 Divide each side by '-7'. z = 5 Simplifying z = 5
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