Solve the formula for the given variable. $$ \begin{array}{l}\text { D }=\frac{2}{9}(H-24) \text { for } H \ H=\square \text { (Simplify your answer.) }\end{array} $$

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Solve the equation by following steps:
- step0: Solve for $$H$$:
  $$D=\frac{2}{9}\left(H-24\right)$$
- step1: Multiply the terms:
  $$D=\frac{2}{9}H-\frac{16}{3}$$
- step2: Swap the sides:
  $$\frac{2}{9}H-\frac{16}{3}=D$$
- step3: Move the constant to the right side:
  $$\frac{2}{9}H=D+\frac{16}{3}$$
- step4: Add the terms:
  $$\frac{2}{9}H=\frac{3D+16}{3}$$
- step5: Multiply by the reciprocal:
  $$\frac{2}{9}H\times \frac{9}{2}=\frac{3D+16}{3}\times \frac{9}{2}$$
- step6: Multiply:
  $$H=\frac{9D+48}{2}$$
To solve the formula $$ D = \frac{2}{9}(H - 24) $$ for $$ H $$, we can follow these steps:

1. **Multiply both sides by 9** to eliminate the fraction:
   $$
   9D = 2(H - 24)
   $$

2. **Distribute the 2** on the right side:
   $$
   9D = 2H - 48
   $$

3. **Add 48 to both sides** to isolate the term with $$ H $$:
   $$
   9D + 48 = 2H
   $$

4. **Divide both sides by 2** to solve for $$ H $$:
   $$
   H = \frac{9D + 48}{2}
   $$

Thus, the simplified expression for $$ H $$ is:
$$
H = \frac{9D + 48}{2}
$$
$$ H = \frac{9D + 48}{2} $$

Solve the formula for the given variable. \[ \begin{array}{l}\text { D }=\frac{2}{9}(H-24) \text { for } H \\ H=\square \text { (Simplify your answer.) }\end{array} \]

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