Solve the following expression
`(4a+2b-3c)+(3a-2b+4c)`

Answer

To solve the expression \((4a + 2b - 3c) + (3a - 2b + 4c)\), we will follow these steps:

### Step 1: Write down the expression
We start with the expression:
\[ (4a + 2b - 3c) + (3a - 2b + 4c) \]

### Step 2: Remove the parentheses
Since we are adding the two expressions, we can simply write them together:
\[ 4a + 2b - 3c + 3a - 2b + 4c \]

### Step 3: Combine like terms
Now we will combine the like terms. We have:
- For \(a\): \(4a + 3a = 7a\)
- For \(b\): \(2b - 2b = 0\) (these cancel each other out)
- For \(c\): \(-3c + 4c = 1c\) or simply \(c\)

Putting it all together, we have:
\[ 7a + 0b + c = 7a + c \]

### Final Answer
Thus, the simplified expression is:
\[ 7a + c \]

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