Solve -3.6z+1.3=0.2(z-3)

$$-3.6z+1.3=0.2(z-3)$$

Solve for z

$$z=0.5$$

Steps for Solving Linear Equation

Use the distributive property to multiply 0.2 by z-3.

$$-3.6z+1.3=0.2z-0.6$$

Subtract 0.2z from both sides.

$$-3.6z+1.3-0.2z=-0.6$$

Combine -3.6z and -0.2z to get -3.8z.

$$-3.8z+1.3=-0.6$$

Subtract 1.3 from both sides.

$$-3.8z=-0.6-1.3$$

Subtract 1.3 from -0.6 to get -1.9.

$$-3.8z=-1.9$$

Divide both sides by -3.8.

$$z=\frac{-1.9}{-3.8}$$

Expand \frac{-1.9}{-3.8} by multiplying both numerator and the denominator by 10.

$$z=\frac{-19}{-38}$$

Reduce the fraction \frac{-19}{-38} to lowest terms by extracting and canceling out -19.

$$z=\frac{1}{2}$$