Question

solve for w.
\\(\frac{2}{3w} = \frac{1}{6} - \frac{3}{2w}\\)
if there is more than one solution, separate them with commas.
if there is no solution, click on
o solution\.
\\(w = \\)

Explanation:

Step1: Find common denominator

The least common denominator of $3w$, $6$, and $2w$ is $6w$.

Step2: Multiply all terms by LCD

Multiply each term by $6w$ to eliminate denominators:
$$6w \times \frac{2}{3w} = 6w \times \frac{1}{6} - 6w \times \frac{3}{2w}$$
Simplify each term:
$$4 = w - 9$$

Step3: Isolate the variable $w$

Add 9 to both sides of the equation:
$$w = 4 + 9$$

Answer:

$w = 13$