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Solve for zz. Express your answer as a proper or improper fraction in simplest terms.minus, one half, equals, minus, one ninth, z, plus, one half− 21​ =− 91​ z+ 21​

Question

Solve for zz. Express your answer as a proper or improper fraction in simplest terms.minus, one half, equals, minus, one ninth, z, plus, one half− 21​ =− 91​ z+ 21​

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Solution

The equation is -1/2 = -1/9z + 1/2.

Step 1: Subtract 1/2 from both sides of the equation to isolate the term with z on one side. This gives us -1 = -1/9z.

Step 2: To solve for z, we need to get rid of the -1/9 coefficient. We can do this by dividing both sides of the equation by -1/9.

Step 3: Dividing -1 by -1/9 is the same as multiplying -1 by -9, which gives us 9.

So, z = 9.

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