Solve for v v/2.2-0.1=7.4

$\frac{v}{2.2} - 0.1 = 7.4$

Step 1

Simplify each term.

Multiply by $1$ .

$\frac{1 v}{2.2} - 0.1 = 7.4$

Factor $2.2$ out of $2.2$ .

$\frac{1 v}{2.2 (1)} - 0.1 = 7.4$

Separate fractions.

$\frac{1}{2.2} \cdot \frac{v}{1} - 0.1 = 7.4$

Divide $1$ by $2.2$ .

$0.\overline{45} \frac{v}{1} - 0.1 = 7.4$

Divide $v$ by $1$ .

$0.\overline{45} v - 0.1 = 7.4$

Step 2

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

Add $0.1$ to both sides of the equation.

$0.\overline{45} v = 7.4 + 0.1$

Add $7.4$ and $0.1$ .

$0.\overline{45} v = 7.5$

Step 3

Divide each term in $0.\overline{45} v = 7.5$ by $0.\overline{45}$ and simplify.

Divide each term in $0.\overline{45} v = 7.5$ by $0.\overline{45}$ .

$\frac{0.\overline{45} v}{0.\overline{45}} = \frac{7.5}{0.\overline{45}}$

Simplify the left side.

Cancel the common factor of $0.\overline{45}$ .

Cancel the common factor.

$\frac{0.\overline{45} v}{0.\overline{45}} = \frac{7.5}{0.\overline{45}}$

Divide $v$ by $1$ .

$v = \frac{7.5}{0.\overline{45}}$

Simplify the right side.

Divide $7.5$ by $0.\overline{45}$ .

$v = 16.5$