Solve the following equations:

(a) 4 = 5(p – 2)

(b) – 4 = 5(p – 2)

(c) 16 = 4 + 3(t + 2)

(d) 4 + 5(p – 1) =34

(e) 0 = 16 + 4(m – 6)

The parts of the given question are solved below:


(a) We have to solve the given equation for p.


Therefore,


We have,


4= 5(p – 2)


Dividing both sides by 5 we get,




p =


p =


(b) We have to solve the given equation for p.


Therefore,


We have,


-4= 5(p – 2)


Dividing both sides by 5 we get,




p =


p =


(c) We have to solve the given equation for t.


Therefore,


We have,


16 = 4 + 3(t + 2)


16 – 4 = 3(t + 2)


12 = 3(t + 2)


Dividing both sides by 3, we get,




t =


(d)We have to solve the given equation for p.


Therefore,


We have,


4 + 5(p - 1) = 34


4 + 5(p - 1) = 34


5(p – 1) = 34 – 4


5(p – 1) = 30


Dividing both sides by 5, we get,




p = 6 + 1


p = 7


(e) We have to solve the given equation for m


Therefore,


We have,


0 = 16 + 4(m - 6)


-16 = 4(m - 6)


Dividing both sides by 4, we get,




m =

7