Certainly! Let's simplify the given expression step by step.
Given expression:
[tex]\[ [e - 3d - e] + [2c - 3d + 2e] \][/tex]
### Step 1: Simplify the first bracket
First, we observe the expression inside the first set of brackets: [tex]\( e - 3d - e \)[/tex].
- Combine the terms involving [tex]\( e \)[/tex]:
[tex]\[ e - e - 3d = 0 - 3d = -3d \][/tex]
So, the first bracket simplifies to [tex]\( -3d \)[/tex].
### Step 2: Simplify the second bracket
Next, let's examine the expression inside the second set of brackets: [tex]\( 2c - 3d + 2e \)[/tex].
- There are no like terms to combine here.
So, the second bracket remains as [tex]\( 2c - 3d + 2e \)[/tex].
### Step 3: Combine the simplified expressions
Now, we combine the simplified expressions from both brackets:
[tex]\[ -3d + (2c - 3d + 2e) \][/tex]
### Step 4: Combine like terms
Combine like terms in the combined expression:
- For [tex]\( d \)[/tex]:
[tex]\[ -3d - 3d = -6d \][/tex]
- The other terms [tex]\( 2c \)[/tex] and [tex]\( 2e \)[/tex] have no like terms to combine with.
Thus, the final simplified expression is:
[tex]\[ 2c - 6d + 2e \][/tex]
So, the simplified form of the given expression is:
[tex]\[ 2c - 6d + 2e \][/tex]
