To solve for \( c \) in the equation \( -1.6(2c + 12) = 12 \), we can follow these steps:
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Distribute -1.6 on the left side:
\[ -1.6 \times 2c - 1.6 \times 12 = 12 \]
This simplifies to:
\[ -3.2c - 19.2 = 12 \]
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Add 19.2 to both sides:
\[ -3.2c - 19.2 + 19.2 = 12 + 19.2 \]
Which simplifies to:
\[ -3.2c = 31.2 \]
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Divide both sides by -3.2:
\[ c = \frac{31.2}{-3.2} \]
Now, calculate the right side:
\[ c = -9.75 \]
Therefore, the value of \( c \) is:
\[ \boxed{-9.75} \]