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If 4p is equal to 6p, then 2p - 3q equal...

If `4p` is equal to `6p`, then 2p - 3q equals which one of the following?

A

0

B

2

C

3

D

4

Text Solution

AI Generated Solution

The correct Answer is:
To solve the equation given in the question, we will follow these steps: ### Step 1: Set up the equation We start with the equation provided in the question: \[ 4p = 6q \] ### Step 2: Simplify the equation To simplify the equation, we can divide both sides by 2: \[ \frac{4p}{2} = \frac{6q}{2} \] This simplifies to: \[ 2p = 3q \] Let's label this as Equation (1). ### Step 3: Substitute into the expression We need to find the value of \( 2p - 3q \). From Equation (1), we know that \( 2p = 3q \). ### Step 4: Substitute \( 2p \) in the expression Now we can substitute \( 2p \) in the expression \( 2p - 3q \): \[ 2p - 3q = 3q - 3q \] ### Step 5: Simplify the expression Now we simplify the expression: \[ 3q - 3q = 0 \] ### Conclusion Thus, the value of \( 2p - 3q \) is: \[ 0 \] ### Final Answer The final answer is \( 0 \). ---
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