Question

How do you solve `2( w - 7) - 1= - 3( - 8w + 3) - 7w`?

Answer 1

`w=10/3` or `w=3 1/3` or `w=3.33bar3`

Explanation:

Step 1. Distribute the `2` and `-3` into the parenthesis.

`color(red)(2)(w-7)-1=color(red)(-3)(-8w+3)-7w`

`2w-14-1=24-9-7w`

Step 2. Add the like terms, `w`s with `w`s and numbers with numbers.

`2w-15=15-7w`

Add `15` to both sides
`2w-15+color(red)(15)=15-7w+color(red)(15)`
`2w=30-7w`

Add `7w` to both sides
`2w+color(red)(7w)=30-7w+color(red)(7w)`
`9w=30`

Divide both sides by `9`
`(cancel(9)w)/(cancel(color(red)(9)))=30/(color(red)(9))`
`w=10/3` or `w=3 1/3` or `w=3.33bar3`