Evaluate Using the Given Value 175 , 600=-0.45(p)+282.93

$175$ , $600 = - 0.45 (p) + 282.93$

Step 1

Rewrite the equation as $- 0.45 p + 282.93 = 600$ .

$- 0.45 p + 282.93 = 600$

Step 2

Move all terms not containing $p$ to the right side of the equation.

Subtract $282.93$ from both sides of the equation.

$- 0.45 p = 600 - 282.93$

Subtract $282.93$ from $600$ .

$- 0.45 p = 317.07$

Step 3

Divide each term in $- 0.45 p = 317.07$ by $- 0.45$ and simplify.

Divide each term in $- 0.45 p = 317.07$ by $- 0.45$ .

$\frac{- 0.45 p}{- 0.45} = \frac{317.07}{- 0.45}$

Simplify the left side.

Cancel the common factor of $- 0.45$ .

Cancel the common factor.

$\frac{- 0.45 p}{- 0.45} = \frac{317.07}{- 0.45}$

Divide $p$ by $1$ .

$p = \frac{317.07}{- 0.45}$

Simplify the right side.

Divide $317.07$ by $- 0.45$ .

$p = - 704.6$

Step 4

Replace the variable $p$ with $- 704.6$ in the expression.

$175$