Questions: -3(2p+1)+4(2p-3)=2p-15

Transcript text: $-3(2 p+1)+4(2 p-3)=2 p-15$

Solution

Solution Steps

Step 1: Expand the Left Side of the Equation

Expand the terms on the left side of the equation: \[ -3(2p + 1) + 4(2p - 3) \] \[ = -3 \cdot 2p + (-3) \cdot 1 + 4 \cdot 2p + 4 \cdot (-3) \] \[ = -6p - 3 + 8p - 12 \]

Step 2: Combine Like Terms

Combine the like terms on the left side: \[ -6p + 8p - 3 - 12 \] \[ = 2p - 15 \]

Step 3: Compare Both Sides of the Equation

Now, the equation becomes: \[ 2p - 15 = 2p - 15 \] This is an identity, meaning it holds true for all values of $ p $.

Final Answer

The equation holds true for all values of $ p $.

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