Question
19) \( 3=\frac{12+n}{2} \)
Ask by Barrett Fuentes. in the United States
Jan 23,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( n = -6 \)
Solution
To solve the equation:
\[
3 = \frac{12 + n}{2}
\]
**Step 1: Eliminate the Fraction**
Multiply both sides of the equation by 2 to eliminate the denominator:
\[
2 \times 3 = 2 \times \frac{12 + n}{2}
\]
\[
6 = 12 + n
\]
**Step 2: Solve for \( n \)**
Subtract 12 from both sides of the equation:
\[
6 - 12 = n
\]
\[
-6 = n
\]
**Solution:**
\[
n = -6
\]
Reviewed and approved by the UpStudy tutoring team
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Mind Expander
To solve the equation \( 3=\frac{12+n}{2} \), you start by multiplying both sides by 2 to eliminate the fraction: \( 6 = 12 + n \). Next, subtract 12 from both sides, giving you \( n = 6 - 12 \), which simplifies to \( n = -6 \). So, the solution is \( n = -6 \). Easy peasy!