Answer:
[tex]w = \frac{3}{2} [/tex]
Step-by-step explanation:
Let's solve:
[tex] \frac{2w - 1}{4} =2−w[/tex]
Step 1: Simplify both sides of the equation.
[tex] \frac{2w - 1}{4} =2−w \\ \frac{1}{2} w+ \frac{ - 1}{4} =2+−w(Distribute) \\ \frac{1}{2} w+ \frac{ - 1}{4} =−w+2[/tex]
Step 2: Add w to both sides.
[tex] \frac{1}{2} w+ \frac{ - 1}{4} +w=−w+2+w\\ \frac{3}{2} w+ \frac{ - 1}{4} =2[/tex]
Step 3: Add 1/4 to both sides.
[tex] \frac{3}{2} w+ \frac{ - 1}{4} + \frac{1}{4} =2+ \frac{1}{4} \\ \frac{3}{2} w= \frac{9}{4} [/tex]
Step 4: Multiply both sides by 2/3.
[tex]( \frac{2}{3} )*( \frac{3}{2} w)=( \frac{2}{3} )*( \frac{9}{4} )[/tex]
Therefore, the answer will be w = 3/2.
