Solve 54(2-p)=-14(p+2)

$$54 ( 2 - p ) = - 14 ( p + 2 )$$

Solve for p

$$p = \frac{17}{5} = 3\frac{2}{5} = 3.4$$

Steps for Solving Linear Equation

Use the distributive property to multiply 54 by 2-p.

$$108-54p=-14\left(p+2\right)$$

Use the distributive property to multiply -14 by p+2.

$$108-54p=-14p-28$$

Add 14p to both sides.

$$108-54p+14p=-28$$

Combine -54p and 14p to get -40p.

$$108-40p=-28$$

Subtract 108 from both sides.

$$-40p=-28-108$$

Subtract 108 from -28 to get -136.

$$-40p=-136$$

Divide both sides by -40.

$$p=\frac{-136}{-40}$$

Reduce the fraction \frac{-136}{-40} to lowest terms by extracting and canceling out -8.

$$p=\frac{17}{5}$$