How to solve 4+|7-m|=5

When

|a|=b

assume

a=b and - a=b

so

4+|7-m|=5

minus 4 from both sides

|7-m|=1

assume

7-m=1 and

- (7-m) = 1

7-m=1

minus 7 both sidees

-m=-6

times - 1 both sides

m=6

- (7-m) = 1

distribute

-7+m=1

add 7 to both sides

m=8

m=6 and 8