Evaluate Using the Given Value 14 , 910=p(0.15)(7)

$14$ , $910 = p (0.15) (7)$

Step 1

Rewrite the equation as $p (0.15) \cdot 7 = 910$ .

$p (0.15) \cdot 7 = 910$

Step 2

Multiply $7$ by $0.15$ .

$p \cdot 1.05 = 910$

Step 3

Divide each term in $(p \cdot 1.05) = 910$ by $1.05$ and simplify.

Divide each term in $(p \cdot 1.05) = 910$ by $1.05$ .

$\frac{(p \cdot 1.05)}{1.05} = \frac{910}{1.05}$

Simplify the left side.

Cancel the common factor of $1.05$ .

Cancel the common factor.

$\frac{p \cdot 1.05}{1.05} = \frac{910}{1.05}$

Divide $p$ by $1$ .

$p = \frac{910}{1.05}$

Simplify the right side.

Divide $910$ by $1.05$ .

$p = 866.\overline{6}$

Step 4

Replace the variable $p$ with $866.\overline{6}$ in the expression.

$14$