To combine like terms in the expression \( q^3 - q^3 + 8p^3 \):
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The terms \( q^3 \) and \( -q^3 \) are like terms and will cancel each other out: \[ q^3 - q^3 = 0 \]
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The remaining term is \( 8p^3 \).
So, the simplified expression is: \[ 8p^3 \]
Thus, the final answer is \( 8p^3 \).