Question

How do you solve `-5( - 5v + 9) - 6v = 4( v - 6) - 9`?

Answer 1

1. Expand brackets.
2. Add like terms -> all like terms; some are on different sides of the equal sign.
3. Solve for `v`.

In this case, `v=4/5`.

Explanation:

So first off, we expand the brackets.

`-5(-5v+9) -6v = 4(v-6) - 9`

`25v-45-6v = 4v-24 - 9`

Now we add like terms.

`19v-45 = 4v-33`

Now, we bring all like variables to one side of the equal sign, and the other variables on the other side.

`19v-4v = -33 + 45`

Again, we add like terms.

`15v = 12`

Finally, we isolate for the variable, `v`.

`(15v)/15 = 12/15`

`v=12/15`

Given `v = 12/15`, we have to simplify the fraction. A common denominator is `3`, thus we divide the numerator and denominator by 3. Resulting in `v=4/5`.

Hope this helps :)