| ( | m | − | 1 | ) | ÷ | ( | m | + | 3 | ) | − | ( | 2 | ÷ | m | − | 1 | ) | = | 1 |
| Multiply both sides of the equation by: | ( | m | + | 3 | ) |
| ( | m | − | 1 | ) | − | ( | 2 | ÷ | m | − | 1 | ) | ( | m | + | 3 | ) | = | 1 | ( | m | + | 3 | ) |
| m | − | 1 | − | ( | 2 | ÷ | m | − | 1 | ) | ( | m | + | 3 | ) | = | 1 | ( | m | + | 3 | ) |
| m | − | 1 | − | ( | 2 | ÷ | m | − | 1 | ) | ( | m | + | 3 | ) | = | 1 | m | + | 1 | × | 3 |
| m | − | 1 | − | ( | 2 | ÷ | m | − | 1 | ) | ( | m | + | 3 | ) | = | 1 | m | + | 3 |
| m | − | 1 | − | 2 | ÷ | m | × | ( | m | + | 3 | ) | + | 1 | ( | m | + | 3 | ) | = | 1 | m | + | 3 |
| Multiply both sides of the equation by: | m |
| m | m | − | 1 | m | − | 2 | ( | m | + | 3 | ) | + | 1 | ( | m | + | 3 | ) | m | = | 1 | m | m | + | 3 | m |
| m | m | − | 1 | m | − | 2 | m | − | 2 | × | 3 | + | 1 | ( | m | + | 3 | ) | m | = | 1 | m | m | + | 3 | m |
| m | m | − | 1 | m | − | 2 | m | − | 6 | + | 1 | ( | m | + | 3 | ) | m | = | 1 | m | m | + | 3 | m |
| m | m | − | 3 | m | − | 6 | + | 1 | ( | m | + | 3 | ) | m | = | 1 | m | m | + | 3 | m |
| m | m | − | 3 | m | − | 6 | + | 1 | m | m | + | 1 | × | 3 | m | = | 1 | m | m | + | 3 | m |
| m | m | − | 3 | m | − | 6 | + | 1 | m | m | + | 3 | m | = | 1 | m | m | + | 3 | m |
| m | m | − | 0 | m | − | 6 | + | 1 | m | m | = | 1 | m | m | + | 3 | m |