What is the simplified result of 4a - 3a + 2b + 4b?

• A. 3a + 6b
• B. a + 6b
• C. 1a + 5b
• D. 7b

Answer: (B)

To find the simplified result of the expression ( 4a - 3a + 2b + 4b ), we start by identifying and combining the like terms.

First, we focus on the terms involving ( a ):

• We have ( 4a ) and ( -3a ).

• Combining these gives ( 4a - 3a = 1a ) or simply ( a ).

Next, we look at the terms involving ( b ):

• We have ( 2b ) and ( 4b ).

• Combining these gives ( 2b + 4b = 6b ).

Putting these results together, we find:

( a + 6b ).

This matches with the correct choice, as the simplified expression is effectively ( 1a + 6b ). It's common to drop the coefficient of 1 for clarity, making it simply ( a + 6b ). Therefore, the correct answer is ( a + 6b ).

The reasoning behind arriving at this solution involves careful attention to the grouping of like terms based on their variables. By processing the expression term by term, we ensure that the final simplified expression captures all components