If a = 3, b = 2 and c = -4, find the values of:
`2a+3b-5c`

Answer

To solve the expression \(2a + 3b - 5c\) given that \(a = 3\), \(b = 2\), and \(c = -4\), we will follow these steps:

### Step 1: Substitute the values of a, b, and c into the expression
We start with the expression:
\[ 2a + 3b - 5c \]
Now, substitute \(a = 3\), \(b = 2\), and \(c = -4\):
\[ 2(3) + 3(2) - 5(-4) \]

### Step 2: Perform the multiplication
Now, we will calculate each term:
\[ 2(3) = 6 \]
\[ 3(2) = 6 \]
\[ 5(-4) = -20 \quad \text{(but since we have a negative sign in front, it becomes +20)} \]

So, we can rewrite the expression as:
\[ 6 + 6 + 20 \]

### Step 3: Add the values together
Now, we will add these values:
\[ 6 + 6 = 12 \]
\[ 12 + 20 = 32 \]

### Final Answer
Thus, the value of the expression \(2a + 3b - 5c\) is:
\[ \boxed{32} \]

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