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Factor 1/2 out of 1/2z+9. Show the steps on how to solve this question.

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Final answer:

To factor 1/2 out of the expression 1/2z + 9, identify the common factor (1/2), divide each term by 1/2 to get z and 18, and then write the factored expression as (1/2)(z + 18).

Step-by-step explanation:

To factor 1/2 out of the expression 1/2z + 9, follow these steps:

  1. Identify the terms within the expression that will be factored. In this case, the terms are 1/2z and 9.
  2. Take the common factor, which is 1/2, out of each term in the expression. This involves dividing each term by 1/2.
  3. When you divide 1/2z by 1/2, you get z, and dividing 9 by 1/2 (which is the same as multiplying by 2), you get 18.
  4. Write the factored expression, which combines the common factor with the simplified terms: (1/2)(z + 18).
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