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Simplifying 52.50 = z + 0.03z + 0.02z Combine like terms: z + 0.03z = 1.03z 52.50 = 1.03z + 0.02z Combine like terms: 1.03z + 0.02z = 1.05z 52.50 = 1.05z Solving 52.50 = 1.05z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1.05z' to each side of the equation. 52.50 + -1.05z = 1.05z + -1.05z Combine like terms: 1.05z + -1.05z = 0.00 52.50 + -1.05z = 0.00 Add '-52.50' to each side of the equation. 52.50 + -52.50 + -1.05z = 0.00 + -52.50 Combine like terms: 52.50 + -52.50 = 0.00 0.00 + -1.05z = 0.00 + -52.50 -1.05z = 0.00 + -52.50 Combine like terms: 0.00 + -52.50 = -52.5 -1.05z = -52.5 Divide each side by '-1.05'. z = 50 Simplifying z = 50
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