Respuesta :

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Let's isolate G

F = 2G + 2H

2G = F - 2H

G = (F - 2H)/2

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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]

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