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To solve the equation given:

\[
\frac{8}{4u - 8} - 1 = \frac{2}{u - 2}
\]

we’ll go through it step-by-step.

### Step 1: Simplify the Fractions
Rewrite \(4u - 8\) as \(4(u - 2)\). The equation then becomes:
\[
\frac{8}{4(u - 2)} - 1 = \frac{2}{u - 2}
\]

Simplify the left side:
\[
\frac{2}{u - 2} - 1 = \frac{2}{u - 2}
\]

### Step 2: Combine Terms
Let’s get all terms involving \(u\) on one side

Solve for u: \( \frac{8}{4u - 8} - 1 = \frac{2}{u - 2} \)

Explore a detailed solution for solving the rational equation \( \frac{8}{4u - 8} - 1 = \frac{2}{u - 2} \), involving simplification and solving techniques. This algebra problem is suitable for students in Grades 10-12.

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