Answer:
The equivalent expression can be given as:
⇒
![2t-3q](https://img.qammunity.org/2021/formulas/mathematics/middle-school/cum0itcnhk7t3aydmat4hn3rzwf3p6qku6.png)
Explanation:
Given expression:
![-3t+4q+5t-7q](https://img.qammunity.org/2021/formulas/mathematics/middle-school/5j5oi5meqf9a73q2zjv8mfoulezxozy5hj.png)
To write an equivalent expression:
Solution:
In order to write an equivalent expression, we will combine the like terms. By like terms, we mean the terms with the same variable constant.
For example :
and
are like terms.
We have:
![-3t+4q+5t-7q](https://img.qammunity.org/2021/formulas/mathematics/middle-school/5j5oi5meqf9a73q2zjv8mfoulezxozy5hj.png)
Combining like terms :
⇒
![-3t+5t+4q-7q](https://img.qammunity.org/2021/formulas/mathematics/middle-school/uh029j7eo9lkz3s3fsrsv79af9mgrvbg33.png)
⇒
![2t-3q](https://img.qammunity.org/2021/formulas/mathematics/middle-school/cum0itcnhk7t3aydmat4hn3rzwf3p6qku6.png)
Thus, the equivalent expression can be given as:
⇒
![2t-3q](https://img.qammunity.org/2021/formulas/mathematics/middle-school/cum0itcnhk7t3aydmat4hn3rzwf3p6qku6.png)