3a + 4b - (4a + -b)
Understand the Problem
The question is asking to simplify the expression containing variables 'a' and 'b'. This will involve distributing the negative sign and combining like terms.
Answer
The simplified expression is $-3b$.
Answer for screen readers
The final simplified expression is $-3b$.
Steps to Solve
- Distribute the negative sign
Begin by distributing the negative sign across the parentheses in the expression. If we have an expression like $-(a + b)$, it becomes $-a - b$.
- Combine like terms
Next, if there are any like terms present in the expression after distribution, combine them. For example, if the expression is $-a - b + a - 2b$, combine the terms involving $a$ and $b$.
- Write the final simplified expression
After combining like terms, write the final expression. For instance, from $-a + a - b - 2b$, the final result would be $-3b$.
The final simplified expression is $-3b$.
More Information
The process of simplifying an expression often involves distributing negative signs and combining like terms, which is a fundamental skill in algebra. Mastering this helps in solving more complex expressions.
Tips
One common mistake is forgetting to distribute the negative sign correctly, leading to incorrect signs for terms. To avoid this, carefully check each term and apply the negative sign.
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