Solve P=2(w+h+l)

$$P = 2 ( w + h + l )$$

Solve for h

$$h=\frac{-2w+P-2l}{2}$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by w+h+l.

$$P=2w+2h+2l$$

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

$$2w+2h+2l=P$$

Subtract 2w from both sides.

$$2h+2l=P-2w$$

Subtract 2l from both sides.

$$2h=P-2w-2l$$

The equation is in standard form.

$$2h=-2w+P-2l$$

Divide both sides by 2.

$$\frac{2h}{2}=\frac{-2w+P-2l}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$h=\frac{-2w+P-2l}{2}$$

Divide P-2w-2l by 2.

$$h=\frac{P}{2}-l-w$$

Solve for P

$$P=2\left(w+h+l\right)$$

Solution Steps

Use the distributive property to multiply 2 by w+h+l.

$$P=2w+2h+2l$$