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a-\frac{d+\frac{\pi a}{2}}{-2}=0
Subtract \frac{d+\frac{\pi a}{2}}{-2} from both sides.
-2a-\left(d+\frac{\pi a}{2}\right)=0
Multiply both sides of the equation by -2.
-4a-2\left(d+\frac{\pi a}{2}\right)=0
Multiply both sides of the equation by 2.
-4a-2d-2\times \frac{\pi a}{2}=0
Use the distributive property to multiply -2 by d+\frac{\pi a}{2}.
-4a-2d+\frac{-2\pi a}{2}=0
Express -2\times \frac{\pi a}{2} as a single fraction.
-4a-2d-\pi a=0
Cancel out 2 and 2.
-4a-\pi a=2d
Add 2d to both sides. Anything plus zero gives itself.
\left(-4-\pi \right)a=2d
Combine all terms containing a.
\left(-\pi -4\right)a=2d
The equation is in standard form.
\frac{\left(-\pi -4\right)a}{-\pi -4}=\frac{2d}{-\pi -4}
Divide both sides by -4-\pi .
a=\frac{2d}{-\pi -4}
Dividing by -4-\pi undoes the multiplication by -4-\pi .
a=-\frac{2d}{\pi +4}
Divide 2d by -4-\pi .