Give the steps you will use to separate the variable and then solve the equation:

(a) 3n – 2 = 46

(b) 5m + 7 = 17

(c)

(d)

The parts of the given question are solved below:

(a) Here,

We have to separate the variables

We have, 3n – 2 = 46

Adding 2 both the sides, we obtain

3n – 2 + 2 = 46 + 2

3n = 48

Dividing both sides by 3, we get,

Hence, n = 16

(b) Here,

We have to separate the variables

We have, 5m + 7 = 17

Subtracting 7 from both the sides, we obtain

5m + 7 – 7 = 17 – 7

5m = 10

Dividing both sides by 5, we get,

Hence,

m = 2

(c) Here,

We have to separate the variables

We have,

= 40

Multiplying 3 both the sides, we obtain

= 40 × 3

20p = 120

Dividing both sides by 20, we get

Hence,

This can be written as,

p = 6

(d) Here,

We have to separate the variables

We have,

Multiplying 10 both the sides, we obtain,

3p = 60

Dividing both sides by 3, we get,

Hence,

p = 20