Solve for z
z=\frac{1952}{3377}\approx 0.578027835
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\left(7675-6211\right)\times 100=7675\left(900-867\right)z
Multiply both sides of the equation by 7675.
1464\times 100=7675\left(900-867\right)z
Subtract 6211 from 7675 to get 1464.
146400=7675\left(900-867\right)z
Multiply 1464 and 100 to get 146400.
146400=7675\times 33z
Subtract 867 from 900 to get 33.
146400=253275z
Multiply 7675 and 33 to get 253275.
253275z=146400
Swap sides so that all variable terms are on the left hand side.
z=\frac{146400}{253275}
Divide both sides by 253275.
z=\frac{1952}{3377}
Reduce the fraction \frac{146400}{253275} to lowest terms by extracting and canceling out 75.
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