Question

3p - 2(p-4) = 7p + 6

Answer 1

For this case we must find the value of the variable "p" of the following equation:

`3p-2 (p-4) = 7p + 6`

We apply distributive property on the left side of the equation taking into account that
`+*-=-` and
`- * - = +`:

`3p-2p + 8 = 7p + 6`

We add similar terms:

`p + 8 = 7p + 6`

We subtract
`7p` from both sides of the equation:

`p-7p + 8 = 6\\-6p + 8 = 6`

We subtract 8 from both sides of the equation:

`-6p = 6-8\\-6p = -2`

We divide by -6 on both sides of the equation:

`p = \frac {-2} {- 6}\\p = \frac {1} {3}`

Answer:

`p = \frac {1} {3}`