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6) $-2x + 11 + 6x$ 8) $-v + 12v$ 10) $4p + 2p$ 12) $n + 4 - 9 - 5n$

Question

  1. $-2x + 11 + 6x$
  2. $-v + 12v$
  3. $4p + 2p$
  4. $n + 4 - 9 - 5n$

Explanation:

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, $4p + 2p = (4 + 2)p = 6p$.

Answer:

$4x + 11$

Problem 8: $-v + 12v$