Question
Real Tutor Solution
Tutor-Verified Answer
Answer
\[
-8x + 4r - 5
\]
Solution
To add the expressions \( (-8x - 2) + (4r - 3) \), follow these steps:
1. **Remove the parentheses:**
\[
-8x - 2 + 4r - 3
\]
2. **Combine like terms:**
- **Constants:** \(-2\) and \(-3\) can be combined.
\[
-2 - 3 = -5
\]
- **Variables:**
- \(-8x\) remains as is (there are no other \(x\) terms).
- \(4r\) remains as is (there are no other \(r\) terms).
3. **Write the simplified expression:**
\[
-8x + 4r - 5
\]
**Final Answer:**
\[
-8x + 4r - 5
\]
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Mind Expander
To combine the terms in the expression \( (-8x - 2) + (4r - 3) \), start by grouping like terms together. You have \(-8x\) as a term with \(x\), \(4r\) as a term with \(r\), and constant terms \(-2\) and \(-3\). Adding these, you get: \(-8x + 4r - 5\). So the final simplified expression is \( -8x + 4r - 5 \). Want to take it a step further? You can always substitute in values for \(x\) and \(r\) to see how the expression behaves! It’s like a little math experiment where you get to see the relationship between the variables and constants. Today’s test subject could be \(x = 1\) and \(r = 2\), which gives \( -8(1) + 4(2) - 5\) = -8 + 8 - 5 = -5. Voilà!
