Solve for r f=1/2(r+6.5)

$f = \frac{1}{2} (r + 6.5)$

Rewrite the equation as $\frac{1}{2} \cdot (r + 6.5) = f$ .

$\frac{1}{2} \cdot (r + 6.5) = f$

Multiply both sides of the equation by $2$ .

$2 (\frac{1}{2} \cdot (r + 6.5)) = 2 f$

Simplify the left side.

Simplify $2 (\frac{1}{2} \cdot (r + 6.5))$ .

Apply the distributive property.

$2 (\frac{1}{2} r + \frac{1}{2} \cdot 6.5) = 2 f$

Combine $\frac{1}{2}$ and $r$ .

$2 (\frac{r}{2} + \frac{1}{2} \cdot 6.5) = 2 f$

Combine $\frac{1}{2}$ and $6.5$ .

$2 (\frac{r}{2} + \frac{6.5}{2}) = 2 f$

Divide $6.5$ by $2$ .

$2 (\frac{r}{2} + 3.25) = 2 f$

Apply the distributive property.

$2 \frac{r}{2} + 2 \cdot 3.25 = 2 f$

Cancel the common factor of $2$ .

Cancel the common factor.

$2 \frac{r}{2} + 2 \cdot 3.25 = 2 f$

Rewrite the expression.

$r + 2 \cdot 3.25 = 2 f$

$r + 2 \cdot 3.25 = 2 f$

Multiply $2$ by $3.25$ .

$r + 6.5 = 2 f$

$r + 6.5 = 2 f$

$r + 6.5 = 2 f$

Subtract $6.5$ from both sides of the equation.

$r = 2 f - 6.5$

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