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Solve for a a=1/2*(h(B+b))

$a = \frac{1}{2} \cdot (h (B + b))$

Step 1

Remove parentheses.

$a = \frac{1}{2} \cdot (h (B + b))$

Step 2

Simplify $\frac{1}{2} \cdot (h (B + b))$ .

Apply the distributive property.

$a = \frac{1}{2} \cdot (h B + h b)$

Apply the distributive property.

$a = \frac{1}{2} (h B) + \frac{1}{2} (h b)$

Multiply $\frac{1}{2} (h B)$ .

Combine $h$ and $\frac{1}{2}$ .

$a = \frac{h}{2} B + \frac{1}{2} (h b)$

Combine $\frac{h}{2}$ and $B$ .

$a = \frac{h B}{2} + \frac{1}{2} (h b)$

$a = \frac{h B}{2} + \frac{1}{2} (h b)$

Multiply $\frac{1}{2} (h b)$ .

Combine $h$ and $\frac{1}{2}$ .

$a = \frac{h B}{2} + \frac{h}{2} b$

Combine $\frac{h}{2}$ and $b$ .

$a = \frac{h B}{2} + \frac{h b}{2}$

$a = \frac{h B}{2} + \frac{h b}{2}$

Reorder $h$ and $b$ .

$a = \frac{h B}{2} + \frac{b h}{2}$

$a = \frac{h B}{2} + \frac{b h}{2}$

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