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Simplifying 35 = 7z + -2z Combine like terms: 7z + -2z = 5z 35 = 5z Solving 35 = 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 35 + -5z = 5z + -5z Combine like terms: 5z + -5z = 0 35 + -5z = 0 Add '-35' to each side of the equation. 35 + -35 + -5z = 0 + -35 Combine like terms: 35 + -35 = 0 0 + -5z = 0 + -35 -5z = 0 + -35 Combine like terms: 0 + -35 = -35 -5z = -35 Divide each side by '-5'. z = 7 Simplifying z = 7
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