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