QUESTION IMAGE
Question
- $-2x + 11 + 6x$
- $-v + 12v$
- $4p + 2p$
- $n + 4 - 9 - 5n$
Response
Problem 6: $-2x + 11 + 6x$
Step 1: Combine like terms (x terms)
Combine $-2x$ and $6x$. The coefficient of $x$ in $-2x$ is $-2$ and in $6x$ is $6$. So, $-2x + 6x = (-2 + 6)x = 4x$.
Step 2: Write the simplified expression
The constant term is $11$, so the simplified expression is $4x + 11$.
Step 1: Combine like terms (v terms)
The coefficient of $v$ in $-v$ is $-1$ and in $12v$ is $12$. So, $-v + 12v = (-1 + 12)v = 11v$.
Step 1: Combine like terms (p terms)
The coefficient of $p$ in $4p$ is $4$ and in $2p$ is $2$. So, $4p + 2p = (4 + 2)p = 6p$.
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$4x + 11$