I found the gcf for 22 and 30 found the lcm for 3 and 8 I'm confused about what G and H are for this equation. Can you please help thanks.

We will solve for the variable "G" and "H" from the given two equations.
The two equations given for each variable are:
[tex]\begin{gathered} 3\cdot\text{ ( 7 + 10 ) = G + 30} \\ 5\cdot\text{ ( 3 + H ) = 15 + 45} \end{gathered}[/tex]Each equation consists of a single variable as above:
[tex]\begin{gathered} 3\cdot(17)\text{ = G + 30} \\ 51\text{ = G + 30} \\ G\text{ = 21 }\ldots\text{ Answer} \end{gathered}[/tex]Similarly we will solve the other equation for the variable ( H ):
[tex]\begin{gathered} 5\cdot(3+H)\text{ = 60} \\ \\ \frac{5}{5}\cdot(3+H)\text{ = }\frac{60}{5} \\ \\ 3\text{ + H = 12} \\ \\ H\text{ = 12 - 3} \\ \\ H\text{ = 9 }\ldots\text{ Answer} \end{gathered}[/tex]