Answer :

To simplify the expression
[tex]$$
2c - 3 - 5c + 7 + 9c - c,
$$[/tex]
follow these steps:

1. Group the terms with the variable [tex]\( c \)[/tex] and the constant terms separately.
The terms with [tex]\( c \)[/tex] are:
[tex]$$2c,\quad -5c,\quad +9c,\quad -c$$[/tex]
The constant terms are:
[tex]$$-3,\quad +7$$[/tex]

2. Combine the [tex]\( c \)[/tex]-terms by adding their coefficients.
The coefficients are:
[tex]$$2, \ -5, \ 9, \ -1$$[/tex]
Add these together:
[tex]$$
2 - 5 + 9 - 1 = 5.
$$[/tex]
Thus, the sum of the [tex]\( c \)[/tex]-terms is:
[tex]$$
5c.
$$[/tex]

3. Combine the constant terms.
The constants are:
[tex]$$
-3 \quad \text{and} \quad +7.
$$[/tex]
Adding them:
[tex]$$
-3 + 7 = 4.
$$[/tex]

4. Write the simplified expression by combining the results.
The final simplified expression is:
[tex]$$
5c + 4.
$$[/tex]

Thus, the expression [tex]\(2c - 3 - 5c + 7 + 9c - c\)[/tex] simplifies to
[tex]$$
5c + 4.
$$[/tex]

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Rewritten by : Barada