To subtract the expression \( (3g - 4) - 2(3g + 4) \), we'll begin by distributing the -2 across the second term:
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Distribute -2: \[ (3g - 4) - 2(3g + 4) = (3g - 4) - (6g + 8) \]
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Combine the expressions: \[ = 3g - 4 - 6g - 8 \]
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Combine like terms:
- Combine the \( g \) terms: \( 3g - 6g = -3g \)
- Combine the constant terms: \( -4 - 8 = -12 \)
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Write the final result: \[ -3g - 12 \]
So, the result of the subtraction is: \[ -3g - 12 \]