How do you solve \(8(3a+6) = 9(2a-4)\)?

Expand the brackets so you get 24a+48=18a-36
then you take the smaller value of a from both sides which in this case is 18a so then you are left with 6a+48=-36 then to get 6a on its own, you take away 48 from both sides 6a=-84 then you divide both sides by 6 to get the value of a a=-14

Answered by kezzy00010 | 2024-06-10

The **solution **to the **equation **8(3a + 6) = 9(2a - 4) is a = -14.
First, **distribute **the multiplication on both sides of the equation:
24a + 48 = 18a - 36
We can do this by **subtracting **18a from both sides:
24a - 18a + 48 = 18a - 18a - 36
6a + 48 = -36
Next, we'll **isolate **the term with the variable a by subtracting 48 from both sides:
6a + 48 - 48 = -36 - 48
6a = -84
Finally, **divide **both sides of the equation by 6 to solve for a:
(6a) / 6 = -84 / 6
a = -14
Therefore, the **solution **to the **equation **8(3a + 6) = 9(2a - 4) is a = -14.
Learn more about **Equation **here:
https://brainly.com/question/29657983
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Answered by sheenuvt12 | 2024-06-17

The solution to the equation 8 ( 3 a + 6 ) = 9 ( 2 a − 4 ) is a = − 14 . To find this, distribute, combine like terms, isolate the variable, and divide to solve for a .
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Answered by sheenuvt12 | 2024-10-01