Question
Solve for \( p \) \( 10+8 p=-10+4 p \) \( p=\square \) Submit
Ask by Mcguire Nichols. in the United States
Jan 27,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( p = -5 \)
Solution
To solve for \( p \) in the equation:
\[
10 + 8p = -10 + 4p
\]
**Step 1:** Subtract \( 4p \) from both sides to get all terms containing \( p \) on one side.
\[
10 + 8p - 4p = -10 + 4p - 4p
\]
\[
10 + 4p = -10
\]
**Step 2:** Subtract \( 10 \) from both sides to isolate the term with \( p \).
\[
4p = -10 - 10
\]
\[
4p = -20
\]
**Step 3:** Divide both sides by \( 4 \) to solve for \( p \).
\[
p = \frac{-20}{4}
\]
\[
p = -5
\]
**Final Answer:**
\[
p = -5
\]
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Simplify this solution Bonus Knowledge
To solve for \( p \), we first need to rearrange the equation \( 10 + 8p = -10 + 4p \). Start by moving all the terms involving \( p \) to one side and the constant terms to the other side. Subtract \( 4p \) from both sides: \[ 10 + 8p - 4p = -10 + 4p - 4p \] This simplifies to: \[ 10 + 4p = -10 \] Next, subtract 10 from both sides: \[ 4p = -10 - 10 \] \[ 4p = -20 \] Now, divide by 4: \[ p = \frac{-20}{4} \] \[ p = -5 \] So, \( p = -5 \).
