Question

How do you solve `17.4+ 19.8w = 16.8w`?

Answer 1

See a solution process below:

Explanation:

Step 1) Subtract `color(red)(17.4)` and `color(blue)(16.8w)` from each side of the equation to isolate the `w` term while keeping the equation balanced:

`-color(red)(17.4) + 17.4 + 19.8w - color(blue)(16.8w) = -color(red)(17.4) + 16.8w - color(blue)(16.8w)`

`0 + (19.8 - color(blue)(16.8))w = -17.4 + 0`

`3w = -17.4`

Step 2) Divide each side of the equation by `color(red)(3)` to solve for `w` while keeping the equation balanced:

`(3w)/color(red)(3) = -17.4/color(red)(3)`

`(color(red)(cancel(color(black)(3)))w)/cancel(color(red)(3)) = -5.8`

`w = -5.8`