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]
