4(z-2)=2(z-4)

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Solution for 4(z-2)=2(z-4) equation:


Simplifying
4(z + -2) = 2(z + -4)

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

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

Add '8' to each side of the equation.
-8 + 8 + 4z = -8 + 8 + 2z

Combine like terms: -8 + 8 = 0
0 + 4z = -8 + 8 + 2z
4z = -8 + 8 + 2z

Combine like terms: -8 + 8 = 0
4z = 0 + 2z
4z = 2z

Solving
4z = 2z

Solving for variable 'z'.

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

Add '-2z' to each side of the equation.
4z + -2z = 2z + -2z

Combine like terms: 4z + -2z = 2z
2z = 2z + -2z

Combine like terms: 2z + -2z = 0
2z = 0

Divide each side by '2'.
z = 0

Simplifying
z = 0

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