Question

Solve for w . Simplify?

Answer 1

The value of `w` is `-24`.

Explanation:

As long as you perform the same operations on both sides of the equation, you can do whatever you want. First, multiply both sides by `8`, then, divide both sides by `-5`.

`-5/8w=15`

`-5/8w*8=15*8`

`-5/color(red)cancel(color(black)8)w*color(red)cancel(color(black)8)=15*8`

`-5w=15*8`

`-5w=120`

`w=120/(-5)`

`w=-24`

Answer 2

`w=-24`

Explanation:

Step 1
The first priority is to isolate the variable `w`. To do this, we must divide both sides by `-5/8`.
`(-5/8w)/(-5/8)=15/(-5/8)`

Step 2
In order to simplify the left side of the equation, we can simply cancel the `-5/8`.
`w=15/(-5/8)`

Step 3
Now, we must simplify the right side of the equation. When dividing by a fraction, we can simply multiply by the fraction's reciprocal.
`w=15*(-8/5)`

Step 4
We simplify.
`w=-24`

Answer 3

`w = - 24`

Explanation:

`- (5)/(8)w = 15`    Solve for `w`

1) Clear the fraction by multiplying both sides by `8` and letting the denominator cancel
`- 5w = 120`

2) Divide both sides by `-5` to isolate `w`
`w = - 24`

Answer:
`w = - 24`

Answer 4

`w=-24`

Explanation:

We have:
`-5/8*w=15`

Using the fact that `a/b*c=(ac)/b`, we can say that:

`-5/8*w/1=15/1`

=>`-(5w)/8=15/1`

Now, remember that:

If `a/b=c/d`, then:

`ad=cb` where `b!=0` and `d!=0`

=>`-(5w)/8=15/1`

=>`(-5w)/8=15/1`

=>`-5w=120` Divide both sides by -5.

=>`w=-24`