Verified Answer :

Hey there, Lets solve this problem together. 

Our first step will be to gather like terms 

\(5*-2k*k+1\) 

 Simplify 5×−2k×k to −5×2k×k

\(-5*2k*k+1\) 

Simplify 5×2k×k to 10k^2 

\(-10k^2+1\) 

Answer:  The required simpler expression is \(3k-1.\)

Step-by-step explanation:  We are given to combine the terms to make a simpler expression from the following expression :

\(E=5k+(-2k)-(-1)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\)

Since the given expression contain terms with unknown variable k and the constant terms, so we can combine them as follows :

\(E\\\\=5k+(-2k)-(-1)\\\\=5k-2k-1\\\\=(5-2)k-1\\\\=3k-1.\)

Thus, the required simpler expression is \(3k-1.\)