\(\frac{1}{2} w + 7 = 2w - 2\)
First, replace the numerator with 'w'.
\(\frac{w}{2} +7=2w-2\)
Second, multiply both sides by 2.
\(w + 14 = 4w - 2\)
Third, subtract 'w' from both sides.
\(14 = 4w - 4 - w\)
Fourth, simplify to 3w - 4.
\(14 = 3w - 4\)
Fifth, add '4' to both sides.
\(14+4=3w\)
Sixth, add 14 + 4.
\(18 = 3w\)
Seventh, divide both sides by '3'.
\(\frac{18}{3} =w\)
Eighth, since 6 goes into 3 to get 18, simplify the fraction to 6.
\(6 = w\)
Ninth, switch the sides.
\(w = 6\)
Answer: w = 6
