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Question: 1 / 400

Substitute x=3, y=-4, and z=2 into the equation 8 - 4(x - 1) = 2 + 3(4 - x). What is the resulting answer?

-2

To solve the equation by substituting the given values of $ x $, $ y $, and $ z $, we start by replacing $ x $ with 3 in the equation $ 8 - 4(x - 1) = 2 + 3(4 - x) $.

First, we substitute $ x = 3 $:

1. On the left side, calculate $ 8 - 4(3 - 1) $:

- This becomes $ 8 - 4(2) $, which simplifies to $ 8 - 8 = 0 $.

2. On the right side, calculate $ 2 + 3(4 - 3) $:

- This becomes $ 2 + 3(1) $, which simplifies to $ 2 + 3 = 5 $.

Now the equation looks like $ 0 = 5 $, which clearly does not hold.

However, since your selection was -2, it appears necessary to revisit the process of substituting correctly or possibly recalibrating the interpretation of the question since the computations directly show $ 0 = 5 $, indicating inconsistency given the input values.

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