Answer:
Solving the equation [tex]15 = 3n + 6p[/tex] for variable n we get [tex]\mathbf{n=5-2p}[/tex]
Step-by-step explanation:
We need to solve the equation [tex]15 = 3n + 6p[/tex] for variable n
Solving:
[tex]15 = 3n + 6p[/tex]
Subtract both sides by 6p
[tex]15-6p = 3n +6p -6p\\15-6p=3n[/tex]
Switch sides of equality
[tex]3n=15-6p[/tex]
Divide both sides by 3
[tex]\frac{3n}{3} =\frac{15-6p}{3}\\n=\frac{3(5-2p)}{3}\\n=5-2p[/tex]
So, solving the equation [tex]15 = 3n + 6p[/tex] for variable n we get [tex]\mathbf{n=5-2p}[/tex]