Respuesta :
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Let's isolate G
F = 2G + 2H
2G = F - 2H
G = (F - 2H)/2

Answer:
[tex]\sf g= \dfrac{f}{2}-h[/tex]
Step-by-step explanation:
"Solve for g" means to apply arithmetic operations to isolate g.
Given equation:
[tex]\sf f = 2g + 2h[/tex]
Subtract 2h from both sides:
[tex]\implies \sf f -2h= 2g + 2h-2h[/tex]
[tex]\implies \sf f -2h= 2g[/tex]
Divide both sides by 2:
[tex]\implies \sf \dfrac{f}{2}-\dfrac{2h}{2}= \dfrac{2g}{2}[/tex]
Cancel the common factor of 2:
[tex]\implies \sf \dfrac{f}{2}-\dfrac{\diagup\!\!\!\!2\:h}{\diagup\!\!\!\!2}= \dfrac{\diagup\!\!\!\!2\:g}{\diagup\!\!\!\!2}[/tex]
[tex]\implies \sf \dfrac{f}{2}-h=g[/tex]
Switch sides:
[tex]\implies \sf g= \dfrac{f}{2}-h[/tex]