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Solve for d
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f+3=d\left(g+h\right)
Multiply both sides of the equation by g+h.
f+3=dg+dh
Use the distributive property to multiply d by g+h.
dg+dh=f+3
Swap sides so that all variable terms are on the left hand side.
\left(g+h\right)d=f+3
Combine all terms containing d.
\frac{\left(g+h\right)d}{g+h}=\frac{f+3}{g+h}
Divide both sides by g+h.
d=\frac{f+3}{g+h}
Dividing by g+h undoes the multiplication by g+h.