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Solve 3a + 4b = a - 8b + 24 for a in terms of b.

 May 18, 2020

Best Answer 

 #1
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+1

Let's solve for a.

3a+4b=a−8b+24

Step 1: Add -a to both sides.

3a+4b+−a=a−8b+24+−a

2a+4b=−8b+24

Step 2: Add -4b to both sides.

2a+4b+−4b=−8b+24+−4b

2a=−12b+24

Step 3: Divide both sides by 2.

2a

2

=

−12b+24

2

a=−6b+12  <------final answer

 May 18, 2020
 #1
avatar
+1
Best Answer

Let's solve for a.

3a+4b=a−8b+24

Step 1: Add -a to both sides.

3a+4b+−a=a−8b+24+−a

2a+4b=−8b+24

Step 2: Add -4b to both sides.

2a+4b+−4b=−8b+24+−4b

2a=−12b+24

Step 3: Divide both sides by 2.

2a

2

=

−12b+24

2

a=−6b+12  <------final answer

Guest May 18, 2020

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