To simplify the expression \((3g - 4) - 2(3g + 4)\), follow these steps:
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Distribute the \(-2\) across the terms in the parentheses: \[ -2(3g + 4) = -2 \cdot 3g - 2 \cdot 4 = -6g - 8 \]
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Substitute this back into the expression: \[ (3g - 4) - (6g + 8) \]
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Rewrite the expression: \[ 3g - 4 - 6g - 8 \]
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Combine like terms:
- Combine the \(g\) terms: \(3g - 6g = -3g\)
- Combine the constants: \(-4 - 8 = -12\)
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The final result is: \[ -3g - 12 \]
Thus, the simplified expression is: \[ -3g - 12 \]