Question

simplify the expression (n + 1) - 2( 4 - n )

Answer 1

To simplify the expression \((n + 1) - 2(4 - n)\), follow these steps:

1. Distribute the -2 across the expression inside the parentheses:

\[
(n + 1) - 2 \cdot 4 + 2 \cdot n
\]

This becomes:

\[
(n + 1) - 8 + 2n
\]

2. Combine like terms. First, we will combine \(n\) and \(2n\):

\[
n + 2n + 1 - 8
\]

This simplifies to:

\[
3n + 1 - 8
\]

3. Now, combine the constants \(1\) and \(-8\):

\[
3n - 7
\]

So, the simplified expression is:

\[
\boxed{3n - 7}
\]