Question

-4/9x = -36
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Answer 1

To solve the equation \(-\frac{4}{9}x = -36\), follow these steps:

1. **Eliminate the negative signs**: You can multiply both sides of the equation by -1 to make the equation easier to work with:

\[
\frac{4}{9}x = 36
\]

2. **Isolate \(x\)**: To solve for \(x\), multiply both sides by the reciprocal of \(\frac{4}{9}\), which is \(\frac{9}{4}\):

\[
x = 36 \times \frac{9}{4}
\]

3. **Perform the multiplication**: First, calculate \(36 \times \frac{9}{4}\):

\[
x = \frac{36 \times 9}{4}
\]

Calculate \(36 \times 9 = 324\):

\[
x = \frac{324}{4}
\]

4. **Simplify the fraction**: Divide \(324\) by \(4\):

\[
x = 81
\]

So, the solution is:

\[
\boxed{81}
\]