Answer:
![m=-21](https://img.qammunity.org/2021/formulas/mathematics/middle-school/ifgur13i07061jk6umnrj5eudap5k7q0mn.png)
Step-by-step explanation:
In order to solve the exercise, you need to remember the following properties:
1. Addition property of equality:
If
, then
![a+c=b+c](https://img.qammunity.org/2021/formulas/mathematics/middle-school/ejm0oqx7q2ps0t0uox2yc14muot3boku22.png)
2. Subtraction property of equality:
If
, then
![a-c=b-c](https://img.qammunity.org/2021/formulas/mathematics/middle-school/ygqcwz5t0iku7z5y9pg5afsddo4m9irida.png)
3. Divison property of equality:
If
, then
![(a)/(c)=(b)/(c)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/s4icbgoexrb806afm40s0qwa16sx9ttd61.png)
4. Multiplication property of equality:
If
, then
![a*c=b*c](https://img.qammunity.org/2021/formulas/mathematics/middle-school/7pg3cgj9ah01vjhau5g7vfb6zbj6vvfoz6.png)
Then, given the following equation:
![9+(m)/(3)=2](https://img.qammunity.org/2021/formulas/mathematics/middle-school/y4tbptkpzh4qigq31fbu710s4gzcwr8gfq.png)
You need to followw these steps in order solve for "m":
- Apply the Subtraction property of equality subtracting 9 from both sides of the equation:
![9+(m)/(3)-9=2-9\\\\(m)/(3)=-7](https://img.qammunity.org/2021/formulas/mathematics/middle-school/se6iy70ci4weg0b4hxli2apbjrnaiagfuw.png)
- Apply the Multiplication property of equality multiplying both sides of the equation by 3. Then, you get:
![(3)((m)/(3))=(-7)(3)\\\\m=-21](https://img.qammunity.org/2021/formulas/mathematics/middle-school/gnchidot37r6iqkt0w3twr89cwvxo9kyex.png)