Answer:
D) b = [tex]\frac{S-2ac}{2a + 2c}[/tex]
Step-by-step explanation:
First, move all the terms that do not include b to the left side with S:
S = 2ab + 2bc + 2ac
S - 2ac = 2ab + 2bc
Now, factor out 2b from the right side:
S - 2ac = 2b(a + c)
Divide both sides by 2(a + c):
b = [tex]\frac{S-2ac}{2(a + c)}[/tex]
Finally, multiply out the denominator:
b = [tex]\frac{S-2ac}{2a + 2c}[/tex]
