Question
Real Tutor Solution
Tutor-Verified Answer
Answer
\( p = 4 \)
Solution
To solve the equation for \( p \):
\[
-2p - 3 = -31 + 5p
\]
**Step 1: Move all terms containing \( p \) to one side and constant terms to the other side.**
Add \( 2p \) to both sides to eliminate \( -2p \) from the left side:
\[
-2p - 3 + 2p = -31 + 5p + 2p
\]
Simplifying both sides:
\[
-3 = -31 + 7p
\]
**Step 2: Isolate the term containing \( p \).**
Add \( 31 \) to both sides to move the constant term to the left:
\[
-3 + 31 = 7p
\]
Simplifying:
\[
28 = 7p
\]
**Step 3: Solve for \( p \).**
Divide both sides by \( 7 \):
\[
p = \frac{28}{7} = 4
\]
**Solution:** \( p = 4 \)
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Mind Expander
To solve the equation \(-2p - 3 = -31 + 5p\), first, let's move all the \(p\) terms to one side and the constant terms to the other side. 1. Add \(2p\) to both sides: \(-3 = -31 + 5p + 2p\) This simplifies to: \(-3 = -31 + 7p\) 2. Next, add \(31\) to both sides: \(-3 + 31 = 7p\) This simplifies to: \(28 = 7p\) 3. Finally, divide both sides by \(7\): \(p = \frac{28}{7}\) Thus, \(p = 4\). So, the solution is \(p = 4\).
