Certainly! Let's simplify the given expression step-by-step:
Given the expression:
[tex]\[ 4a - 6b - 7a + 3b \][/tex]
1. Combine the like terms involving [tex]\(a\)[/tex]:
- [tex]\(4a\)[/tex] and [tex]\(-7a\)[/tex]
2. Combine the like terms involving [tex]\(b\)[/tex]:
- [tex]\(-6b\)[/tex] and [tex]\(3b\)[/tex]
Let's handle the terms with [tex]\(a\)[/tex] first:
[tex]\[ 4a - 7a \][/tex]
Subtract [tex]\(7a\)[/tex] from [tex]\(4a\)[/tex]:
[tex]\[ (4 - 7)a \][/tex]
[tex]\[ -3a \][/tex]
Next, let's handle the terms with [tex]\(b\)[/tex]:
[tex]\[ -6b + 3b \][/tex]
Add [tex]\(3b\)[/tex] to [tex]\(-6b\)[/tex]:
[tex]\[ (-6 + 3)b \][/tex]
[tex]\[ -3b \][/tex]
Putting it all together, the simplified expression is:
[tex]\[ -3a - 3b \][/tex]
So, the simplified form of the given expression [tex]\(4a - 6b - 7a + 3b\)[/tex] is:
[tex]\[ -3a - 3b \][/tex]
