Simplify 4r + 5p - 6r + 7.
Understand the Problem
The question is asking to simplify the expression 4r + 5p - 6r + 7. This involves combining like terms to write the expression in its simplest form.
Answer
The simplified expression is \( -2r + 5p + 7 \).
Answer for screen readers
The simplified expression is ( -2r + 5p + 7 ).
Steps to Solve
- Combine like terms for ( r )
Identify the terms with the variable ( r ): ( 4r ) and ( -6r ).
Combine these terms: $$ 4r - 6r = -2r $$
- Identify the term with ( p )
The only term containing ( p ) is ( 5p ).
This term remains unchanged: $$ 5p $$
- Combine constant terms
The only constant term is ( 7 ).
This term also remains unchanged: $$ 7 $$
- Write the simplified expression
Now, combine all the results: $$ -2r + 5p + 7 $$
The simplified expression is ( -2r + 5p + 7 ).
More Information
Combining like terms helps to simplify algebraic expressions, making them easier to work with. This process is fundamental in algebra and is used in various mathematical applications.
Tips
- Forgetting to change the sign when combining negative and positive terms.
- Not recognizing that constant terms do not affect other variables but need to be combined separately.
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