Simplify 4r + 5p - 6r + 7
Understand the Problem
The question is asking to simplify the expression by combining like terms, focusing on the variable 'r' and the constant terms. This involves adding and subtracting the coefficients in front of 'r' and handling any constants.
Answer
The simplified expression is $-2r + 5p + 7$.
Answer for screen readers
The simplified expression is $-2r + 5p + 7$.
Steps to Solve
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Identify like terms We need to identify the terms that contain the variable $r$ and the constant term separately. The terms with $r$ are $4r$, $-6r$, and the constant terms are $5p$ and $7$.
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Combine the $r$ terms To combine the terms with $r$, we add and subtract their coefficients: $$ 4r - 6r = (4 - 6)r = -2r $$
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Identify and simplify constant terms The only constant term we have is $7$. Since there are no other constant terms to combine with it, it remains as it is: $7$.
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Write the simplified expression Combining the simplified $r$ term and the constant term gives us the final expression: $$ -2r + 5p + 7 $$
The simplified expression is $-2r + 5p + 7$.
More Information
This expression cannot be simplified further since there are no like terms left to combine. Each part represents a different type of term.
Tips
- Forgetting to combine like terms, especially if there are many variables involved.
- Confusing the signs when subtracting coefficients; always double-check if you are adding or subtracting.
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