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Simplifying 525 + 0.21z = 585 + 0.13z Solving 525 + 0.21z = 585 + 0.13z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-0.13z' to each side of the equation. 525 + 0.21z + -0.13z = 585 + 0.13z + -0.13z Combine like terms: 0.21z + -0.13z = 0.08z 525 + 0.08z = 585 + 0.13z + -0.13z Combine like terms: 0.13z + -0.13z = 0.00 525 + 0.08z = 585 + 0.00 525 + 0.08z = 585 Add '-525' to each side of the equation. 525 + -525 + 0.08z = 585 + -525 Combine like terms: 525 + -525 = 0 0 + 0.08z = 585 + -525 0.08z = 585 + -525 Combine like terms: 585 + -525 = 60 0.08z = 60 Divide each side by '0.08'. z = 750 Simplifying z = 750
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