36=-2(22-z)+4(z-4)

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Solution for 36=-2(22-z)+4(z-4) equation: 


Simplifying
36 = -2(22 + -1z) + 4(z + -4)
36 = (22 * -2 + -1z * -2) + 4(z + -4)
36 = (-44 + 2z) + 4(z + -4)

Reorder the terms:
36 = -44 + 2z + 4(-4 + z)
36 = -44 + 2z + (-4 * 4 + z * 4)
36 = -44 + 2z + (-16 + 4z)

Reorder the terms:
36 = -44 + -16 + 2z + 4z

Combine like terms: -44 + -16 = -60
36 = -60 + 2z + 4z

Combine like terms: 2z + 4z = 6z
36 = -60 + 6z

Solving
36 = -60 + 6z

Solving for variable 'z'.

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

Add '-6z' to each side of the equation.
36 + -6z = -60 + 6z + -6z

Combine like terms: 6z + -6z = 0
36 + -6z = -60 + 0
36 + -6z = -60

Add '-36' to each side of the equation.
36 + -36 + -6z = -60 + -36

Combine like terms: 36 + -36 = 0
0 + -6z = -60 + -36
-6z = -60 + -36

Combine like terms: -60 + -36 = -96
-6z = -96

Divide each side by '-6'.
z = 16

Simplifying
z = 16

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