Solve 7.818-7.3/7.818100=(865-882)z

$$\frac{ 7.818-7.3 }{ 7.818 } 100 = (865-882)z$$

Solve for z

$$z=-\frac{25900}{66453}\approx -0.389749146$$

Steps for Solving Linear Equation

Subtract 7.3 from 7.818 to get 0.518.

$$\frac{0.518}{7.818}\times 100=\left(865-882\right)z$$

Expand \frac{0.518}{7.818} by multiplying both numerator and the denominator by 1000.

$$\frac{518}{7818}\times 100=\left(865-882\right)z$$

Reduce the fraction \frac{518}{7818} to lowest terms by extracting and canceling out 2.

$$\frac{259}{3909}\times 100=\left(865-882\right)z$$

Express \frac{259}{3909}\times 100 as a single fraction.

$$\frac{259\times 100}{3909}=\left(865-882\right)z$$

Multiply 259 and 100 to get 25900.

$$\frac{25900}{3909}=\left(865-882\right)z$$

Subtract 882 from 865 to get -17.

$$\frac{25900}{3909}=-17z$$

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

$$-17z=\frac{25900}{3909}$$

Divide both sides by -17.

$$z=\frac{\frac{25900}{3909}}{-17}$$

Express \frac{\frac{25900}{3909}}{-17} as a single fraction.

$$z=\frac{25900}{3909\left(-17\right)}$$

Multiply 3909 and -17 to get -66453.

$$z=\frac{25900}{-66453}$$

Fraction \frac{25900}{-66453} can be rewritten as -\frac{25900}{66453} by extracting the negative sign.

$$z=-\frac{25900}{66453}$$