New Year Cryptogram

Logic Level 1

NEW17+NEW18157235 \large{\begin{array}{ccccccc} && & & & N & E&W & 1&7\\ +&& & & & N & E&W & 1&8\\ \hline && & & 1& 5 &7&2 &3 & 5\\ \hline \end{array}}

The above shows a cryptogram, with each letter representing a distinct single digit non-negative integer with N,E,W>0N,E,W > 0

What is N + E + W ?

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