We need to solve the equation $6 = 18 + \frac{h}{3}$ for the variable $h$.

AlgebraLinear EquationsSolving EquationsVariable Isolation
2025/4/27

1. Problem Description

We need to solve the equation 6=18+h36 = 18 + \frac{h}{3} for the variable hh.

2. Solution Steps

First, we want to isolate the term containing hh. We can do this by subtracting 18 from both sides of the equation:
618=18+h3186 - 18 = 18 + \frac{h}{3} - 18
12=h3-12 = \frac{h}{3}
Now, to solve for hh, we multiply both sides of the equation by 3:
12×3=h3×3-12 \times 3 = \frac{h}{3} \times 3
36=h-36 = h
So, h=36h = -36.

3. Final Answer

h=36h = -36

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