Question

f=1/4(g+h-k)solve for h

Answer 1

To solve for h, we must isolate it in one side of the equation. So we start here:

$f=\frac{1}{4}(g+h-k)$

All operations must be done in both sides, so the euqality is maintained. We can start by multiplying both sides by 4, which wil remove the fraction:

$\begin{gathered} 4\cdot f=4\cdot\frac{1}{4}(g+h-k) \\ 4f=g+h-k \end{gathered}$

Now, let's invert the equation, so that h is on the left side:

$g+h-k=4f$

Now we can substract g from both sides:

$\begin{gathered} g+h-k-g=4f-g \\ g-g+h-k=4f-g \\ h-k=4f-g \end{gathered}$

Finally, we can add k in both sides:

$\begin{gathered} h-k+k=4f-g+k \\ h=4f-g+k \end{gathered}$

And so we solved for h.