Question

solve for w.
-2w - \frac{6}{5} = \frac{7}{2}w + \frac{1}{5}
simplify your answer as much as possible.
w =

Explanation:

Step1: Eliminate fractions by multiplying all terms by 10 (the least common multiple of 5 and 2).

$$10\times(-2w - \frac{6}{5}) = 10\times(\frac{7}{2}w + \frac{1}{5})$$
$$-20w - 12 = 35w + 2$$

Step2: Move all w terms to one side and constants to the other.

Add \(20w\) to both sides: \(-12 = 55w + 2\)
Subtract 2 from both sides: \(-14 = 55w\)

Step3: Solve for w by dividing both sides by 55.

\(w = \frac{-14}{55}\)

Answer:

\(w = -\frac{14}{55}\)