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2w-1/5+w=2=2w
find 2 different methods to solve this

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Final answer:

The question seems to have typos, but if solving for 'w' in 2w - 1/5 + w = 2, like terms are combined and simple algebra is used to find that w = 11/15. An alternative proportional method is suggested but appears unrelated given the context of the initial equation.

Step-by-step explanation:

The question appears to contain some errors or typos, making it difficult to interpret the intended mathematical problem. Assuming the question is trying to solve the equation 2w - 1/5 + w = 2, there are multiple methods to approach this.

Method 1: Combination of Like Terms

First, you can combine like terms:

2w + w = 3w

Then, move all the terms involving 'w' to one side of the equation:

3w - 1/5 = 2

Add 1/5 to both sides to isolate the 'w' terms:

3w = 2 + 1/5

Convert 2 to a fraction with a denominator of 5:

3w = 10/5 + 1/5

3w = 11/5

Finally, divide both sides by 3 to find 'w':

w = (11/5) / 3 = 11/15

Method 2: Equal Proportionality

Second method would be to use the proportion:

1/48 = w/16

Cross-multiply to solve for 'w':

1 * 16 = 48w

16 = 48w

Divide both sides by 48 to find 'w':

w = 16/48 = 1/3

However, this method seems inconsistent with the information given in the initial equation, suggesting there could be a misunderstanding in the information provided.

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