Question

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Answer 1

w= 8/7

Explanation:

1. divide the numbers

`12w-1*10=6-2w`

2. multiply the numbers

`12-10=6-2w`

3. rearrange terms

`12-10=-2w+6`

4. add 10 to both sides of the equation

`12w-10+1-=-2w+6+10`

5. simplify

`12w=-2w+16`

6. add 2w to both sides of the equation

`12w+2w=-2w+16+2w`

7. simplify

`14w=16`

8.divide both sides of the equation by the same term

14w/14 = 16/14

9. simplify

w = 8/7

Answer 2

`w = 2`

Explanation:

`((12w - 20))/(2) = 6 - 2w`

`6w + ( - 20)/(2) = 6 - 2w`

`6w + (( - 10.2))/((1.2)) = 6 - 2w`

`6w + 10 = 6 - 2w`

`6w - 10 + 2w = 6 - 2w + 2w`

`6w + 2w - 10 = 6 - 2w + 2w`

`8w - 10 = 6 - 2w + 2w`

`8w - 10 = - 2w + 2w + 6`

`8w - 10 = 6`

`8w - 10 + 10 = 6 + 10`

`8w = 6 + 10`

`8w = 16`

`(8w)/(8) = (16)/(8)`

`w = (16)/(8)`

`w = (2.8)/(1.8)`

`w = 2`

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