Question
Simplify the expression: \[ 8 w-w-4 w+8 w \]
Ask by Robbins Fleming. in the United States
Jan 23,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The simplified expression is \( 11w \).
Solution
To simplify the expression \( 8w - w - 4w + 8w \), follow these steps:
1. **Identify Like Terms:**
All terms in the expression are like terms because they all contain the variable \( w \).
2. **Combine the Coefficients:**
Add the coefficients (the numerical parts) of the like terms together:
\[
8w - w - 4w + 8w = (8 - 1 - 4 + 8)w
\]
3. **Perform the Arithmetic:**
\[
(8 - 1 - 4 + 8)w = (11)w
\]
4. **Write the Simplified Expression:**
\[
11w
\]
**Final Answer:**
\[
11w
\]
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Simplify this solution Beyond the Answer
To simplify the expression \( 8w - w - 4w + 8w \), we can combine like terms. First, we identify the coefficients of \( w \): - \( 8w \) has a coefficient of 8. - \( -w \) has a coefficient of -1. - \( -4w \) has a coefficient of -4. - \( 8w \) has a coefficient of 8. Now, let's add these coefficients together: \[ 8 + (-1) + (-4) + 8 = 8 - 1 - 4 + 8 \] Calculating step-by-step: 1. \( 8 - 1 = 7 \) 2. \( 7 - 4 = 3 \) 3. \( 3 + 8 = 11 \) Thus, the simplified expression is: \[ 11w \]
