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Solve for the following equation for Z.

T=1/5(x-y+z)

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T = 1/5(x - y + z)

First, let's get rid of the 1/5. To do this, you can multiply both sides by the reciprocal, or 5/1.

(5/1)T=[(5/1)1/5](x-y+z)
5T = x - y + z

Now subtract x from both sides.
5T - x = -y + z

Add y to both sides.
5T - x + y = z

So the answer is:
z = 5T - x + y
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