Question

2p + 7p = 54
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Answer 1

p=6

Explanation:

We are given the equation:

`2p+7p=54`

We want to find p, so we must isolate p on one side of the equation.

First, combine like terms on the left side of the equation. Both terms have the variable "p" and can be added.

`(2p+7p)=54`

`9p=54`

p is being multiplied by 9. The inverse of multiplication is division. Divide both sides of the equation by 9.

`(9p)/(9)=(54)/(9)`

`p=(54)/(9)`

`p=6`

Let's check our solution. Plug 6 in for p and solve.

`2p+7p=54`

`2(6)+7(6)=54`

`12+42=54`

`54=54`

This checks out, so we know our solution is correct.

The solution is 2p+7p=54 is p=6

Answer 2

p=6

Explanation:

2p + 7p = 54

Combine like terms

9p = 54

Divide by 9

9p/9 = 54/9

p = 6