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 \$2m + 3n - p + 4m - 2n + 5p$. Like terms are terms that have the same variable raised to the same power.
2. Group the like terms together: \((2m + 4m) + (3n - 2n) + (-p + 5p)\).
3. Add or subtract the coefficients of the like terms: For \(m\) terms, add \$2 + 4\(; for \)n\( terms, add \)3 - 2\(; for \)p\( terms, add \)-1 + 5$.
4. Rewrite the expression using the simplified coefficients: \$6m + 1n + 4p$.
5. Since the coefficient 1 is usually not written explicitly, express the final simplified form as \$6m + n + 4p$.