Solve 45k+27=18kz

$$45 k + 27 = 18 k z$$

Solve for k

$$k=-\frac{3}{5-2z}$$

$$z\neq \frac{5}{2}$$

Steps for Solving Linear Equation

Subtract 18kz from both sides.

$$45k+27-18kz=0$$

Subtract 27 from both sides. Anything subtracted from zero gives its negation.

$$45k-18kz=-27$$

Combine all terms containing k.

$$\left(45-18z\right)k=-27$$

Divide both sides by 45-18z.

$$\frac{\left(45-18z\right)k}{45-18z}=-\frac{27}{45-18z}$$

Dividing by 45-18z undoes the multiplication by 45-18z.

$$k=-\frac{27}{45-18z}$$

Divide -27 by 45-18z.

$$k=-\frac{3}{5-2z}$$

Solve for z

$$z=\frac{5}{2}+\frac{3}{2k}$$

$$k\neq 0$$

Steps for Solving Linear Equation

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

$$18kz=45k+27$$

Divide both sides by 18k.

$$\frac{18kz}{18k}=\frac{45k+27}{18k}$$

Dividing by 18k undoes the multiplication by 18k.

$$z=\frac{45k+27}{18k}$$

Divide 45k+27 by 18k.

$$z=\frac{5}{2}+\frac{3}{2k}$$