What is the value of c?

​−1.6(2c+12)=12​

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c =

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 hours ago

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:

\[
\boxed{-9.75}
\]