Solve 7.157-6.908/7.157100=left(881-876right)z

$$\frac{ 7.157-6.908 }{ 7.157 } 100 = \left( 881-876 \right) z$$

Solve for z

$$z=\frac{4980}{7157}\approx 0.695822272$$

Steps for Solving Linear Equation

Subtract 6.908 from 7.157 to get 0.249.

$$\frac{0.249}{7.157}\times 100=\left(881-876\right)z$$

Expand \frac{0.249}{7.157} by multiplying both numerator and the denominator by 1000.

$$\frac{249}{7157}\times 100=\left(881-876\right)z$$

Express \frac{249}{7157}\times 100 as a single fraction.

$$\frac{249\times 100}{7157}=\left(881-876\right)z$$

Multiply 249 and 100 to get 24900.

$$\frac{24900}{7157}=\left(881-876\right)z$$

Subtract 876 from 881 to get 5.

$$\frac{24900}{7157}=5z$$

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

$$5z=\frac{24900}{7157}$$

Divide both sides by 5.

$$z=\frac{\frac{24900}{7157}}{5}$$

Express \frac{\frac{24900}{7157}}{5} as a single fraction.

$$z=\frac{24900}{7157\times 5}$$

Multiply 7157 and 5 to get 35785.

$$z=\frac{24900}{35785}$$

Reduce the fraction \frac{24900}{35785} to lowest terms by extracting and canceling out 5.

$$z=\frac{4980}{7157}$$