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Simplifying 35z + 500 = 55z Reorder the terms: 500 + 35z = 55z Solving 500 + 35z = 55z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-55z' to each side of the equation. 500 + 35z + -55z = 55z + -55z Combine like terms: 35z + -55z = -20z 500 + -20z = 55z + -55z Combine like terms: 55z + -55z = 0 500 + -20z = 0 Add '-500' to each side of the equation. 500 + -500 + -20z = 0 + -500 Combine like terms: 500 + -500 = 0 0 + -20z = 0 + -500 -20z = 0 + -500 Combine like terms: 0 + -500 = -500 -20z = -500 Divide each side by '-20'. z = 25 Simplifying z = 25
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