Answer :

Certainly! Let's simplify the expression step-by-step.

1. Write down the original expression:
[tex]\[ 10k - 7k \][/tex]

2. Identify the coefficients of [tex]\(k\)[/tex]:
The coefficient of the first term [tex]\(k\)[/tex] is [tex]\(10\)[/tex], and the coefficient of the second term [tex]\(k\)[/tex] is [tex]\(7\)[/tex].

3. Combine like terms:
Since both terms involve [tex]\(k\)[/tex], we can combine them by subtracting the coefficients:
[tex]\[ 10k - 7k = (10 - 7)k \][/tex]

4. Perform the subtraction:
Calculate the difference between the coefficients:
[tex]\[ 10 - 7 = 3 \][/tex]

5. Multiply the result by [tex]\(k\)[/tex]:
Now, we multiply the difference by [tex]\(k\)[/tex]:
[tex]\[ 3k \][/tex]

So, the simplified form of the expression [tex]\(10k - 7k\)[/tex] is:
[tex]\[ 3k \][/tex]