Roy has a patio that covers 434 ft^2. He wants to increase his patio 196ft^2 by adding 4 feet to both the length and the width. The length of the original patio is three feet more than twice the width What is the length of the new patio?

The original dimensions are

width: w
length: 2w+3

(w+4)(2w+3+4) = 434+196
w=14

so, the new length 2w+3+4 = ?