Solving each equation, we have:
a)
[tex]\begin{gathered} 8x-9=-4x+15 \\ 8x+4x=15+9 \\ 12x=24 \\ x=2 \end{gathered}[/tex]This equation has one solution.
b)
[tex]\begin{gathered} 6-2h=-2h-4 \\ 6=-4 \end{gathered}[/tex]The sentence is false, therefore the equation has no solution.
c)
[tex]\begin{gathered} \frac{1}{2}n+\frac{3}{5}=\frac{3}{5}+\frac{1}{2}n \\ 0=0 \end{gathered}[/tex]The sentence is true, therefore the equation has infinitely many solutions.
d)
[tex]\begin{gathered} 0.72-3w=5w+0.28_{} \\ 5w+3w=0.72-0.28 \\ 8w=0.44 \\ w=\frac{0.44}{8}=0.055 \end{gathered}[/tex]This equation has one solution.
