Question
Real Tutor Solution
Tutor-Verified Answer
Answer
\( h = 2 \)
Solution
To solve the equation:
\[
\frac{9h + 14}{2} = 8h
\]
**Step 1:** Multiply both sides by 2 to eliminate the denominator:
\[
9h + 14 = 16h
\]
**Step 2:** Subtract \(9h\) from both sides to get all \(h\)-terms on one side:
\[
14 = 16h - 9h
\]
\[
14 = 7h
\]
**Step 3:** Divide both sides by 7 to solve for \(h\):
\[
h = \frac{14}{7} = 2
\]
**Solution:**
\[
h = 2
\]
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Simplify this solution The Deep Dive
To solve the equation \( \frac{9h + 14}{2} = 8h \), start by eliminating the fraction by multiplying both sides by 2: \[ 9h + 14 = 16h \] Now, rearrange the equation by subtracting \( 9h \) from both sides: \[ 14 = 16h - 9h \] This simplifies to: \[ 14 = 7h \] Next, divide both sides by 7 to isolate \( h \): \[ h = \frac{14}{7} \] This results in: \[ h = 2 \] So, the solution is \( h = 2 \).
