Solve for w

-4w + (2/5) = - (7/2) w - (3/2)

- (19/5) or - 3.8

Step-by-step explanation:

In this case we put the like terms together as follows

-4w + (7/2) w = (-3/2) - (2/5) note the change of signs when the equal sign. + changes to - and - changes to +.

Therefore - (1/2) w = - (19/10)

dividing both of the equal sign by - (1/2) gives:

w = - (19/10) / - (1/2)

w = - (19/5) or - 3.8