Solve for w.
0.43 + 2.7w = 3.7w – 0.47
w =
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Solve for w. 0.43 + 2.7w = 3.7w – 0.47 w =
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To solve for ( w ) in the equation ( 0.43 + 2.7w = 3.7w – 0.47 ), follow these steps:
1. Move all terms involving ( w ) to one side: Subtract ( 2.7w ) from both sides.
[
0.43 = 3.7w – 2.7w – 0.47
]
2. Simplify the equation:
[
0.43 = (3.7 – 2.7)w – 0.47
]
[
0.43 = 1.0w – 0.47
]
3. Isolate ( w ): Add ( 0.47 ) to both sides.
[
0.43 + 0.47 = 1.0w
]
[
0.90 = w
]
So, the solution is:
[
w = 0.90
]
This means ( w ) is equal to ( 0.90 ). Great job working through the steps! If you have more questions or need deeper explanations, feel free to ask!