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

1 Answer
Ryuu
Apr 13, 2017
  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=45.

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.

15v15=1215

v=1215

Given v=1215, we have to simplify the fraction. A common denominator is 3, thus we divide the numerator and denominator by 3. Resulting in v=45.

Hope this helps :)

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