Solve 7.675-6.211/7.675100=left(900-867right)z

$$\frac{ 7.675-6.211 }{ 7.675 } 100 = \left( 900-867 \right) z$$

Solve for z

$$z=\frac{1952}{3377}\approx 0.578027835$$

Steps for Solving Linear Equation

Subtract 6.211 from 7.675 to get 1.464.

$$\frac{1.464}{7.675}\times 100=\left(900-867\right)z$$

Expand \frac{1.464}{7.675} by multiplying both numerator and the denominator by 1000.

$$\frac{1464}{7675}\times 100=\left(900-867\right)z$$

Express \frac{1464}{7675}\times 100 as a single fraction.

$$\frac{1464\times 100}{7675}=\left(900-867\right)z$$

Multiply 1464 and 100 to get 146400.

$$\frac{146400}{7675}=\left(900-867\right)z$$

Reduce the fraction \frac{146400}{7675} to lowest terms by extracting and canceling out 25.

$$\frac{5856}{307}=\left(900-867\right)z$$

Subtract 867 from 900 to get 33.

$$\frac{5856}{307}=33z$$

Swap sides so that all variable terms are on the left hand side.

$$33z=\frac{5856}{307}$$

Divide both sides by 33.

$$z=\frac{\frac{5856}{307}}{33}$$

Express \frac{\frac{5856}{307}}{33} as a single fraction.

$$z=\frac{5856}{307\times 33}$$

Multiply 307 and 33 to get 10131.

$$z=\frac{5856}{10131}$$

Reduce the fraction \frac{5856}{10131} to lowest terms by extracting and canceling out 3.

$$z=\frac{1952}{3377}$$