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Simplifying 6 + 42z = 21z + 42 Reorder the terms: 6 + 42z = 42 + 21z Solving 6 + 42z = 42 + 21z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-21z' to each side of the equation. 6 + 42z + -21z = 42 + 21z + -21z Combine like terms: 42z + -21z = 21z 6 + 21z = 42 + 21z + -21z Combine like terms: 21z + -21z = 0 6 + 21z = 42 + 0 6 + 21z = 42 Add '-6' to each side of the equation. 6 + -6 + 21z = 42 + -6 Combine like terms: 6 + -6 = 0 0 + 21z = 42 + -6 21z = 42 + -6 Combine like terms: 42 + -6 = 36 21z = 36 Divide each side by '21'. z = 1.714285714 Simplifying z = 1.714285714
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