Solve for t f(t)=212-6t

$f (t) = 212 - 6 t$

Step 1

Add $6 t$ to both sides of the equation.

$f t + 6 t = 212$

Step 2

Factor $t$ out of $f t + 6 t$ .

Factor $t$ out of $f t$ .

$t f + 6 t = 212$

Factor $t$ out of $6 t$ .

$t f + t \cdot 6 = 212$

Factor $t$ out of $t f + t \cdot 6$ .

$t (f + 6) = 212$

Step 3

Divide each term in $t (f + 6) = 212$ by $f + 6$ and simplify.

Divide each term in $t (f + 6) = 212$ by $f + 6$ .

$\frac{t (f + 6)}{f + 6} = \frac{212}{f + 6}$

Simplify the left side.

Cancel the common factor of $f + 6$ .

Cancel the common factor.

$\frac{t (f + 6)}{f + 6} = \frac{212}{f + 6}$

Divide $t$ by $1$ .

$t = \frac{212}{f + 6}$