To solve the equation ( \frac{z}{5} + 3 = -35 ), first, subtract 3 from both sides: ( \frac{z}{5} = -35 - 3 ), which simplifies to ( \frac{z}{5} = -38 ). Then, multiply both sides by 5 to isolate ( z ): ( z = -38 \times 5 ), resulting in ( z = -190 ).
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