The simplification of the expression is ( 11/2)n - (1/2)p - 2
Algebraic expressions are expressions with unknown. It is linear when the highest power of the unknowns is 1.
Simplifying 1+4.25n + 3/2p - 3 + ( -2p) + 5/4n
it will be easier if we can convert the fractions to decimals.
1 + 4.25n + 1.5p - 3 - 2p + 1.25n
collect like terms
1-3 + 4.25n + 1.25n + 1.5p - 2p
-2 + 5.5n - 0.5p
= 5.5n - 0.5p - 2
=( 11/2)n - (1/2)p - 2
Therefore the simplification of the expression is ( 11/2)n - (1/2)p - 2