7-|m-1|=3

Answer 1

(m-1) or (1-m)

7 - m + 1 = 3
or
7 -1 + m = 3

m = 5
or
m = -3

check
if m = 5
|m-1| = 4
4 = 4 good
if m = -3
|m-1| = 4 good

Answer 2

7 - | m - 1 | = 3 Subtract 3 to both sides

7 - | m - 1 | - 3 = 3 - 3

4 - | m - 1 | = 0 Add | m - 1 | to both sides

4 - | m - 1 | + | m - 1 | = 0 + | m - 1 |

4 = | m - 1 |

| m - 1 | = 4

+ OR - ( m - 1 ) = 4

1 solution :

m - 1 = 4 Add 1 to both s ides

m = - 1 + 1 = 4 + 1

m = 5

2 solution:

- ( m - 1 ) = 4

- m + 1 = 4 Subtract 1 to both sides

- m + 1 - 1 = 4 - 1

- m = 3 Multiply both sides by - 1

m = - 3

The solutions are ;

m = - 3

and

m = 5