Certainly! Let's solve the given equation for the variable \( q \). The equation is:
[tex]\[ A = \frac{1}{3} h (q + z) \][/tex]
We will solve this step-by-step:
1. Eliminate the fraction:
To get rid of the fraction \(\frac{1}{3}\), multiply both sides of the equation by 3:
[tex]\[ 3A = h (q + z) \][/tex]
2. Isolate the term involving \( q \):
To isolate \( q \), divide both sides of the equation by \( h \):
[tex]\[ \frac{3A}{h} = q + z \][/tex]
3. Solve for \( q \):
Finally, to solve for \( q \), subtract \( z \) from both sides of the equation:
[tex]\[ q = \frac{3A}{h} - z \][/tex]
So, the variable \( q \) is given by:
[tex]\[ q = \frac{3A}{h} - z \][/tex]
