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Solution:
The given equation is
25 (z - 2) = 125
Using the distributive property
25z - 50 = 125
Add 50 on both sides
25z - 50 + 50 = 125 + 50
By further calculation
25z = 175
Dividing both sides by 25
z = 7
Therefore, the solution to the equation is z = 7.
Summary:
The solution to the equation 25(z - 2) = 125 is z = 7.