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Find the value of : 2p + 3q + 4r + por...

Find the value of :
2p + 3q + 4r + por when p =-1,q = 2 and r = 3

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The correct Answer is:
To find the value of the expression \( 2p + 3q + 4r + p \) when \( p = -1 \), \( q = 2 \), and \( r = 3 \), we can follow these steps: ### Step 1: Write down the expression The expression we need to evaluate is: \[ 2p + 3q + 4r + p \] ### Step 2: Combine like terms Notice that \( 2p + p \) can be combined: \[ 2p + p = 3p \] So, we can rewrite the expression as: \[ 3p + 3q + 4r \] ### Step 3: Substitute the values of \( p \), \( q \), and \( r \) Now, substitute the given values into the expression: - \( p = -1 \) - \( q = 2 \) - \( r = 3 \) Substituting these values gives: \[ 3(-1) + 3(2) + 4(3) \] ### Step 4: Calculate each term Now, calculate each term: 1. \( 3(-1) = -3 \) 2. \( 3(2) = 6 \) 3. \( 4(3) = 12 \) ### Step 5: Combine the results Now, combine the results: \[ -3 + 6 + 12 \] ### Step 6: Perform the addition First, add \( -3 \) and \( 6 \): \[ -3 + 6 = 3 \] Now, add \( 3 \) and \( 12 \): \[ 3 + 12 = 15 \] ### Final Answer Thus, the value of the expression \( 2p + 3q + 4r + p \) when \( p = -1 \), \( q = 2 \), and \( r = 3 \) is: \[ \boxed{15} \]
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