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The variable in the equation 11 = –2z + 8 is z. Remembering the formula ax + b = c, what are the values of the constants in the equation?

A) a= -8, b = 8, c= 11
B) a= -2, b= 8, c= 11
C) a= -11, b= 8, c= 11
D) a= 8, b= -8, c= 11

1 Answer

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Answer: The given equation is 11 = -2z + 8, which can be rearranged into the form of ax + b = c by moving the terms containing z to one side:

-2z + 8 = 11

-2z = 11 - 8

-2z = 3

z = -3/2

Comparing this with the standard form ax + b = c, we see that:

a = -2

b = 8

c = 11

Therefore, the correct answer is option B: a = -2, b = 8, c = 11.

Explanation:

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