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\( u = 8 \)
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To solve the equation \( 3|u-8| + 24 = 24 \), we start by isolating the absolute value term: 1. Subtract 24 from both sides: \[ 3|u-8| = 0 \] 2. Divide both sides by 3: \[ |u-8| = 0 \] 3. The absolute value equals zero when the expression inside it is zero: \[ u - 8 = 0 \] 4. Solve for \( u \): \[ u = 8 \] Thus, the solution is \( u = 8 \).
