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Solution:
18 - 3n + 2 = n + 20 - 4n [Given]
Grouping the like terms on either side, we can write it as
20 - 3n = 20 - 3n
By solving both on LHS and RHS
0 = 0
For every value of n, the linear equation is satisfied.
Therefore, the solution set is real number R.
Summary:
The solution set of 18 - 3n + 2 = n + 20 - 4n is the real number R.