Rate of change linear function

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Step-by-step explanation:

Option (b) is correct.

3p = 5

Step-by-step explanation:

 Given : equation 7p + 4 = − p + 9 + 2p + 3p

We have to write the simplest form of the equation 7p + 4 = − p + 9 + 2p + 3p and choose the correct from the given options.

Consider the given equation

7p + 4 = − p + 9 + 2p + 3p

Simplify , for p on right side by adding similar terms, we get,

7p + 4 =  9 + 4p

Now subtract 4p both side, we have,

7p - 4p + 4 = 9 + 4p - 4p

Simplify , we have,

3p + 4 = 9

Subtract 4 both side, we have,

3p + 4 - 4 = 9 - 4

Simplify, we have,

3p = 5

Thus, Option (b) is correct.