Answer:
[tex]s = \frac{-mz+4B}{m}[/tex]
Step-by-step explanation:
Step 1: Distribute.
- [tex]B = \frac{1}{4}m * s + \frac{1}{4}m * z[/tex]
- [tex]B = \frac{1}{4}ms + \frac{1}{4}mz[/tex]
- [tex]\frac{1}{4}ms + \frac{1}{4}mz = B[/tex]
Step 2: Subtract 1/4(mz) from both sides.
- [tex]\frac{1}{4}ms + \frac{1}{4}mz - \frac{1}{4}mz = B - \frac{1}{4}mz[/tex]
- [tex]\frac{1}{4}ms = -\frac{1}{4}mz + B[/tex]
Step 3: Divide both sides by m/4.
- [tex]\frac{1}{4}ms/\frac{m}{4}=(\frac{-1}{4}mz + B)/\frac{m}{4}[/tex]
- [tex]s = \frac{-mz+4B}{m}[/tex]
