(2) \( 8-3\left\{3+5\left[4-\frac{1}{3}\right](2+2)-3\right\}+1 \)
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Let's break it down step by step, keeping it fun! First, we tackle the innermost bracket: \[ 4 - \frac{1}{3} = \frac{12}{3} - \frac{1}{3} = \frac{11}{3} \] Now, we substitute that back into the equation: \[ 8 - 3\left\{ 3 + 5\left(\frac{11}{3}\right)(2+2) - 3 \right\} + 1 \] Next, calculate \( 2 + 2 = 4 \), then multiply: \[ 5 \left(\frac{11}{3}\right) 4 = \frac{220}{3} \] Substituting that back gives us: \[ 8 - 3\left\{ 3 + \frac{220}{3} - 3 \right\} + 1 \] Now simplify inside the curly braces: \[ 3 - 3 = 0 \] So, it simplifies to: \[ 8 - 3 \left( \frac{220}{3} \right) + 1 \] Calculating \( 3\left( \frac{220}{3} \right) = 220 \), and substituting gives us: \[ 8 - 220 + 1 = -212 \] And there you have it! The final answer is: \(-212\)