Solve 4(3+w)-w=6+3(w+2)

$$4 ( 3 + w ) - w = 6 + 3 ( w + 2 )$$

Solve for w

$$w\in \mathrm{R}$$

Solution Steps

Use the distributive property to multiply 4 by 3+w.

$$12+4w-w=6+3\left(w+2\right)$$

Combine 4w and -w to get 3w.

$$12+3w=6+3\left(w+2\right)$$

Use the distributive property to multiply 3 by w+2.

$$12+3w=6+3w+6$$

Add 6 and 6 to get 12.

$$12+3w=12+3w$$

Subtract 3w from both sides.

$$12+3w-3w=12$$

Combine 3w and -3w to get 0.

$$12=12$$

Compare 12 and 12.

$$\text{true}$$

This is true for any w.

$$w\in \mathrm{R}$$