To solve the equation \( 26 - 5z = -49 \), follow these steps:
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Subtract 26 from both sides of the equation:
\[ 26 - 5z - 26 = -49 - 26 \]
This simplifies to:
\[ -5z = -75 \]
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Next, divide both sides by -5 to isolate \( z \):
\[ z = \frac{-75}{-5} \]
This simplifies to:
\[ z = 15 \]
So, the solution is:
\[ z = 15 \]