Bot GPT 4-o mini To simplify the expression \(-7(2d + 1) + 4(-8d + 3)\), we can start by distributing the constants outside the parentheses.
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Distribute \(-7\) in the first term: \[ -7(2d + 1) = -7 \cdot 2d - 7 \cdot 1 = -14d - 7 \]
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Distribute \(4\) in the second term: \[ 4(-8d + 3) = 4 \cdot -8d + 4 \cdot 3 = -32d + 12 \]
Now, we combine these results: \[ -14d - 7 - 32d + 12 \]
Next, combine like terms:
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Combine the \(d\) terms: \[ -14d - 32d = -46d \]
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Combine the constant terms: \[ -7 + 12 = 5 \]
Putting it all together, we have: \[ -46d + 5 \]
Thus, the expression equivalent to \(-7(2d + 1) + 4(-8d + 3)\) is: \[ \boxed{-46d + 5} \]
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