Simplify the expression 11z - 7z + 3z + 2.

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Multiple Choice

Simplify the expression 11z - 7z + 3z + 2.

Explanation:
To simplify the expression 11z - 7z + 3z + 2, you first need to identify and combine the like terms. Like terms are those that contain the same variable raised to the same power, in this case, the terms involving z. 1. Begin by combining the coefficients of the z terms: - Start with 11z. - Subtract 7z from it, which gives you 4z (since 11 - 7 = 4). - Then, add 3z to the result. So, 4z + 3z equals 7z (since 4 + 3 = 7). 2. Next, you have the constant term, which is +2. Now, you combine the simplified z term (7z) with the constant term (+2). This results in the expression: 7z + 2. This is the correct simplification of the original expression. Therefore, the final simplified form, representing the combination of like terms accurately, is 7z + 2.

To simplify the expression 11z - 7z + 3z + 2, you first need to identify and combine the like terms. Like terms are those that contain the same variable raised to the same power, in this case, the terms involving z.

  1. Begin by combining the coefficients of the z terms:
  • Start with 11z.

  • Subtract 7z from it, which gives you 4z (since 11 - 7 = 4).

  • Then, add 3z to the result. So, 4z + 3z equals 7z (since 4 + 3 = 7).

  1. Next, you have the constant term, which is +2.

Now, you combine the simplified z term (7z) with the constant term (+2). This results in the expression:

7z + 2.

This is the correct simplification of the original expression. Therefore, the final simplified form, representing the combination of like terms accurately, is 7z + 2.

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