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To solve for \( c \) in the equation \( -1.6(2c + 12) = 12 \), we can follow these steps:
1. **Distribute -1.6 on the left side**:
\[
-1.6 \times 2c - 1.6 \times 12 = 12
\]
This simplifies to:
\[
-3.2c - 19.2 = 12
\]
2. **Add 19.2 to both sides**:
\[
-3.2c - 19.2 + 19.2 = 12 + 19.2
\]
Which simplifies to:
\[
-3.2c = 31.2
\]
3. **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:
\[
\boxed{-9.75}
\]