8-4(z-1)=2+3(4-x)

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Solution for 8-4(z-1)=2+3(4-x) equation:


Simplifying
8 + -4(z + -1) = 2 + 3(4 + -1x)

Reorder the terms:
8 + -4(-1 + z) = 2 + 3(4 + -1x)
8 + (-1 * -4 + z * -4) = 2 + 3(4 + -1x)
8 + (4 + -4z) = 2 + 3(4 + -1x)

Combine like terms: 8 + 4 = 12
12 + -4z = 2 + 3(4 + -1x)
12 + -4z = 2 + (4 * 3 + -1x * 3)
12 + -4z = 2 + (12 + -3x)

Combine like terms: 2 + 12 = 14
12 + -4z = 14 + -3x

Solving
12 + -4z = 14 + -3x

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '-12' to each side of the equation.
12 + -12 + -4z = 14 + -12 + -3x

Combine like terms: 12 + -12 = 0
0 + -4z = 14 + -12 + -3x
-4z = 14 + -12 + -3x

Combine like terms: 14 + -12 = 2
-4z = 2 + -3x

Divide each side by '-4'.
z = -0.5 + 0.75x

Simplifying
z = -0.5 + 0.75x

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