Solve for w. -3 + 7/10 w – 2/10 w = -2w w = _______________

To solve the equation (-3 + frac{7}{10}w – frac{2}{10}w = -2w), follow these steps:

1. Combine like terms on the left side:

[

-3 + left(frac{7}{10}w – frac{2}{10}wright) = -2w

]

This simplifies to:

[

-3 + frac{5}{10}w = -2w

]

or

[

-3 + frac{1}{2}w = -2w

]

2. Isolate the terms with ( w ). To do this, add ( 2w ) to both sides:

[

-3 + frac{1}{2}w + 2w = 0

]

Convert ( 2w ) to a fraction with a common denominator:

[

-3 + frac{1}{2}w + frac{4}{2}w = 0

]

This simplifies to:

[

-3 + frac{5}{2}w = 0

]

3. Add 3 to both sides:

[

frac{5}{2}w = 3

]

4. **Multiply