Simplify the following by combining like terms.
$2m+3n-p+4m-2n+5p$

• A. $6m+n+4p$
• B. $6m+n-4p$
• C. $4m+n+4p$
• D. $4m-n-4p$

Answer: (A)

Verified step by step guidance

1. Identify the like terms in the expression: terms with \( m \), terms with \( n \), and terms with \( p \).
2. Group the like terms together: \( 2m + 4m \), \( 3n - 2n \), and \( -p + 5p \).
3. Add or subtract the coefficients of each group separately: for \( m \) terms, add 2 and 4; for \( n \) terms, add 3 and -2; for \( p \) terms, add -1 and 5.
4. Write the simplified expression by combining the results from each group with their respective variables.
5. Double-check your work to ensure all like terms were combined correctly and the signs are accurate.