To subtract \( (3g - 4) - 2(3g + 4) \), follow these steps:
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Distribute the \( -2 \) across the expression \( (3g + 4) \): \[ -2(3g + 4) = -2 \cdot 3g - 2 \cdot 4 = -6g - 8 \]
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Now substitute this back into the original expression: \[ (3g - 4) - (6g + 8) = 3g - 4 - 6g - 8 \]
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Combine like terms: \[ (3g - 6g) + (-4 - 8) = -3g - 12 \]
So, the final answer is: \[ -3g - 12 \]