To solve the equation \(-3.2c + 0.1 = 0.35\), follow these steps:
- Subtract \(0.1\) from both sides of the equation:
\[ -3.2c = 0.35 - 0.1 \]
This simplifies to:
\[ -3.2c = 0.25 \]
- Divide both sides by \(-3.2\):
\[ c = \frac{0.25}{-3.2} \]
Calculating this gives:
\[ c = -\frac{0.25}{3.2} \]
- To simplify \(-\frac{0.25}{3.2}\), you can convert \(0.25\) to a fraction:
\[ 0.25 = \frac{1}{4} \]
Thus,
\[ c = -\frac{1/4}{3.2} = -\frac{1}{4 \times 3.2} \]
- Multiply the denominator:
\[ 3.2 = \frac{32}{10} = \frac{16}{5} \]
So,
\[ c = -\frac{1}{4} \times \frac{5}{16} = -\frac{5}{64} \]
Therefore, the solution is:
\[ c = -\frac{5}{64} \]