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5-2(4a+1)+3a=13

 May 14, 2021
 #1
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$5-2(4a+1)+3a=13$

$5-(8a+2)+3a=13$

$(-8a+3a)+(5-2)=13$

$(-8+3)a+3=13$

$-5a=10$

$a=\frac{10}{-5}=-\frac{10}{5}=\boxed{-2}$

 May 14, 2021
 #2
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0

your anwer is.........

𝑎=−2     

 May 14, 2021
 #3
avatar+373 
+2

Hey there, Caydog!

 

So let's solve this.

 

Step 1: Simplify both sides of the equation.

\(5−2(4a+1)+3a=13\)

\(5+(−2)(4a)+(−2)(1)+3a=13\) (Distribute)

\(5+−8a+−2+3a=13\)

\((−8a+3a)+(5+−2)=13\) (Combine Like Terms)

\(−5a+3=13\)

 

Step 2: Subtract 3 from both sides.

\(−5a+3−3=13−3\)

\(−5a=10\)

 

Step 3: Divide both sides by -5.

\(\frac{-5a}{-5}=\frac{10}{-5}\)

 

Therefore a=-2.

 

Hope this helped! :)

( ゚д゚)つ Bye

 May 14, 2021

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