Question

Solve for p and simplify: m=3/4t times (f-2p)
please show step by step!

Answer 1

Firstly, foil 3/4t(f - 2p):
`m=(3)/(4)ft-(3)/(2)p`

Next, subtract both sides by 3/4ft:
`m-(3)/(4)ft=-(3)/(2)p`

Lastly, multiply both sides by -2/3 and your answer will be:
`-(2)/(3)m+(1)/(2)ft=p`

Answer 2

`p=-(2)/(3)m+(1)/(2)ft`

Explanation:

We have been given an equation
`m=(3)/(4)t* (f-2p)`. We are asked to solve for p.

`m=(3)/(4)t* (f-2p)`

Use distributive property:

`m=(3)/(4)ft-(6p)/(4)`

`m=(3)/(4)ft-(3p)/(2)`

Subtract
`(3)/(4)ft` from both sides:

`m-(3)/(4)ft=(3)/(4)ft-(3)/(4)ft-(3p)/(2)`

`m-(3)/(4)ft=-(3p)/(2)`

Multiply both sides by
`(-2)/(3)`:

`(m-(3)/(4)ft)*(-2)/(3)=(-2)/(3)* (-3p)/(2)`

`-(2)/(3)m+(1)/(2)ft=p`

Therefore, our required equation would be
`p=-(2)/(3)m+(1)/(2)ft`.