We have,

5m = 60

m = 12 is the solution for given equation as,

When m = 12

5m = 5 × 12

= 60

Hence, the equation is satisfied

m = 10 is not a solution to the given equation because:

When m = 5

5m = 5 × 5

= 25

And, 25 60

Also,

m = 15 is not a solution to the given equation because:

When m = 15

5m = 5 × 15

= 75

And, 75 60

(b) We have,

n + 12 = 20

n = 8 is the solution for given equation as,

When n = 8

n + 12 = 8 + 12

= 20

Hence, the equation is satisfied

n = 12 is not a solution to the given equation because:

When n = 12

n + 12 = 12 + 12

= 24

And, 24 20

Also,

n = 20 is not a solution to the given equation because:

When n = 20

n + 12 = 20 + 12

= 32

And, 32 20

n = 0 is not a solution to the given equation because:

When n = 0

n + 12 = 0 + 12

= 12

And, 12 20

(c) We have,

p - 5 = 5

p = 10 is the solution for given equation as,

When p = 10

p - 5 = 10 - 5

= 5

Hence, the equation is satisfied

p = 0 is not a solution to the given equation because:

When p = 0

p - 5 = 0 - 5

= - 5

And, -5 5

Also,

p = 5 is not a solution to the given equation because:

When p = 5

p - 5 = 5 - 5

= 0

And, 0 5

p = -5 is not a solution to the given equation because:

When p = -5

p - 5 = -5 - 5

= - 10

And, - 10 5

(d) We have,

= 7

q = 14 is the solution for given equation as,

When q = 14

=

= 7

Hence, the equation is satisfied

q = 7 is not a solution to the given equation because:

When q = 7

=

And, 7

Also,

q = 2 is not a solution to the given equation because:

When q = 2

=

= 1

And, 1 7

q = 10 is not a solution to the given equation because:

When q = q0

=

= 5

And, 5 7

(e) We have,

r - 4 = 0

r = 4 is the solution for given equation as,

When r = 4

r - 4 = 4 - 4

= 0

Hence, the equation is satisfied

r = - 4 is not a solution to the given equation because:

When r = - 4

r - 4 = - 4 - 4

= - 8

And, - 8 0

Also,

r = 8 is not a solution to the given equation because:

When r = 8

r - 4 = 8 - 4

= 4

And, 4 0

r = 0 is not a solution to the given equation because:

When r = 0

r - 4 = 0 - 4

= - 4

And, - 4 0

(f) We have,

x + 4 = 2

x = - 2 is the solution for given equation as,

When x = - 2

x + 4 = - 2 + 4

= 2

Hence, the equation is satisfied

x = 0 is not a solution to the given equation because:

When x = 0

x + 4 = 0 + 4

= 4

And, 4 2

Also,

x = 2 is not a solution to the given equation because:

When x = 2

x + 4 = 2 + 4

= 6

And, 6 2

x = 4 is not a solution to the given equation because:

When x = 4

x + 4 = 4 + 4

= 8

And, 8 2