Solve for w. 0.43 + 2.7w = 3.7w – 0.47 w =

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!