Evaluate Using the Given Value (b*20)+(b-1300)=108 , 700

$(b \cdot 20) + (b - 1300) = 108$ , $700$

Step 1

Simplify $b \cdot 20 + b - 1300$ .

Move $20$ to the left of $b$ .

$20 b + b - 1300 = 108$

Add $20 b$ and $b$ .

$21 b - 1300 = 108$

Step 2

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

Add $1300$ to both sides of the equation.

$21 b = 108 + 1300$

Add $108$ and $1300$ .

$21 b = 1408$

Step 3

Divide each term in $21 b = 1408$ by $21$ and simplify.

Divide each term in $21 b = 1408$ by $21$ .

$\frac{21 b}{21} = \frac{1408}{21}$

Simplify the left side.

Cancel the common factor of $21$ .

Cancel the common factor.

$\frac{21 b}{21} = \frac{1408}{21}$

Divide $b$ by $1$ .

$b = \frac{1408}{21}$

Step 4

Replace the variable $b$ with $\frac{1408}{21}$ in the expression.

$700$