To solve the equation \(-4.3z = 4.3z - 7.68\), we can start by moving all the \(z\) terms to one side of the equation.
First, we add \(4.3z\) to both sides:
\[ -4.3z + 4.3z = 4.3z - 7.68 + 4.3z \]
This simplifies to:
\[ 0 = 8.6z - 7.68 \]
Now, we'll add \(7.68\) to both sides:
\[ 7.68 = 8.6z \]
Next, we solve for \(z\) by dividing both sides by \(8.6\):
\[ z = \frac{7.68}{8.6} \]
Calculating this value gives:
\[ z \approx 0.8942 \]
Since this value does not match any of the choices directly, let's approximate \(\frac{7.68}{8.6}\):
Calculating:
When dividing \(7.68\) by \(8.6\):
- \(7.68 \div 8.6 \approx 0.8942\)
Looking at the provided choices:
- \(z = 0.8\)
- \(z = 1.92\)
- \(z = 1.25\)
- \(z = -0.9\)
The closest choice is \(z = 0.8\).
Thus, the answer is:
z = 0.8
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