Question
Solve for \( h \) : \( \frac{12+8 h}{4}=-11 \)
Ask by Stephens Lewis. in Japan
Jan 15,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( h = -7 \)
Solution
To solve the equation for \( h \):
\[
\frac{12 + 8h}{4} = -11
\]
**Step 1: Eliminate the Fraction**
Multiply both sides of the equation by 4 to eliminate the denominator:
\[
12 + 8h = -11 \times 4
\]
\[
12 + 8h = -44
\]
**Step 2: Isolate the Term with \( h \)**
Subtract 12 from both sides to isolate the term containing \( h \):
\[
8h = -44 - 12
\]
\[
8h = -56
\]
**Step 3: Solve for \( h \)**
Divide both sides by 8 to solve for \( h \):
\[
h = \frac{-56}{8}
\]
\[
h = -7
\]
**Solution:**
\[
h = -7
\]
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Simplify this solution Bonus Knowledge
To solve for \( h \), start by multiplying both sides of the equation by 4 to eliminate the fraction: \[ 12 + 8h = -44. \] Next, subtract 12 from both sides: \[ 8h = -44 - 12, \] \[ 8h = -56. \] Finally, divide both sides by 8: \[ h = \frac{-56}{8}, \] \[ h = -7. \] So, the solution is \( h = -7 \).
