Subtract :
`3a - 5b + c + 2d` from `7a - 3b + c - 2d`

Answer

To solve the problem of subtracting \(3a - 5b + c + 2d\) from \(7a - 3b + c - 2d\), we will follow these steps:

### Step 1: Write down the expressions
We have two expressions:
1. \(7a - 3b + c - 2d\) (the expression from which we are subtracting)
2. \(3a - 5b + c + 2d\) (the expression to be subtracted)

### Step 2: Set up the subtraction
We need to subtract the second expression from the first:
\[ (7a - 3b + c - 2d) - (3a - 5b + c + 2d) \]

### Step 3: Distribute the negative sign
When we subtract, we change the signs of the terms in the second expression:
\[ 7a - 3b + c - 2d - 3a + 5b - c - 2d \]

### Step 4: Combine like terms
Now, we will combine the like terms:
- For \(a\) terms: \(7a - 3a = 4a\)
- For \(b\) terms: \(-3b + 5b = 2b\)
- For \(c\) terms: \(c - c = 0\) (these cancel each other out)
- For \(d\) terms: \(-2d - 2d = -4d\)

Putting it all together, we have:
\[ 4a + 2b - 4d \]

### Final Answer
The result of the subtraction is:
\[ 4a + 2b - 4d \]

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