Question

Solve for p -160 = 22 + 8 (3p - 4)

Answer 1

p - 160 = 22 + 8 (3p - 4)
p = 182 + 8 (3p - 4)
p = 182 + 24p - 32
24p = 182 - 32
24p = 150
p = 6.25

ALL IN MY HEAD

Answer 2

Answer: The required value of p is
`-(150)/(23).`

Step-by-step explanation: We are given to solve the following linear equation for p :

`p-160=22+8(3p-4)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)`

To solve the given equation for p, we must bring all the terms involving p on the left hand side and the other constant terms on the right hand side of the equation.

The solution of equation (i) is as follows :

`p-160=22+8(3p-4)\\\\\Rightarrow p-160=22+24p-32\\\\\Rightarrow p-160=24p-10\\\\\Rightarrow 24p-p=-160+10\\\\\Rightarrow 23p=-150\\\\\Rightarrow p=-(150)/(23).`

Thus, the required value of p is
`-(150)/(23).`