Verified Answer :

TSO

\(3j - [2k - [5h - (3j + k)]]\\\\3j -[2k-[5h-3j-k]]\\\\3j-[2k-5h+3j+k]\\\\3j-[3k-5h+3j]\\\\3j-3k+5h-3j\\\\-3k+5h\\\\\boxed{\bf{5h-3k}}\)

Answer:

The given expression \(3j-\{2k-[5h-(3j+k)]\}\) is \(5h-3k\)

Step-by-step explanation:

Given expression, \(3j - \{2k - [5h - (3j + k)]\}\)

We are required to simplify the above expression.

Consider the given expression, \(3j - \{2k - [5h - (3j + k)]\}\)

Removing brackets one by one,

Firts we remove round brackets, we get,

\(\Rightarrow 3j - \{2k - [5h - (3j + k)]\}=3j-\{2k-[5h-3j-k]\}\)

Again removing square brackets, we get,

\(\Rightarrow 3j-\{2k-[5h-3j-k]\}=3j-\{2k-5h+3j+k\}\)

Now removing curly brackets, we get,

\(\Rightarrow 3j-2k+5h-3j-k\)

Now solving , we get,

\(\Rightarrow 3j-2k+5h-3j-k=-3k+5h\)

Thus, the given expression \(3j-\{2k-[5h-(3j+k)]\}\) is \(5h-3k\)