Solve (2-w=(3-i)-(6+2i)=

$$( 2 - w = ( 3 - i ) - ( 6 + 2 i ) =$$

Solve for w

$$w=5+3i$$

Steps for Solving Linear Equation

Subtract 6+2i from 3-i by subtracting corresponding real and imaginary parts.

$$2-w=3-6+\left(-1-2\right)i$$

Subtract 6 from 3. Subtract 2 from -1.

$$2-w=-3-3i$$

Subtract 2 from both sides.

$$-w=-3-3i-2$$

Subtract 2 from -3-3i by subtracting corresponding real and imaginary parts.

$$-w=-3-2-3i$$

Subtract 2 from -3 to get -5.

$$-w=-5-3i$$

Divide both sides by -1.

$$w=\frac{-5-3i}{-1}$$

Divide -5-3i by -1 to get 5+3i.

$$w=5+3i$$