2(2z-4)=3(z-4)

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Solution for 2(2z-4)=3(z-4) equation:


Simplifying
2(2z + -4) = 3(z + -4)

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

Reorder the terms:
-8 + 4z = 3(-4 + z)
-8 + 4z = (-4 * 3 + z * 3)
-8 + 4z = (-12 + 3z)

Solving
-8 + 4z = -12 + 3z

Solving for variable 'z'.

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

Add '-3z' to each side of the equation.
-8 + 4z + -3z = -12 + 3z + -3z

Combine like terms: 4z + -3z = 1z
-8 + 1z = -12 + 3z + -3z

Combine like terms: 3z + -3z = 0
-8 + 1z = -12 + 0
-8 + 1z = -12

Add '8' to each side of the equation.
-8 + 8 + 1z = -12 + 8

Combine like terms: -8 + 8 = 0
0 + 1z = -12 + 8
1z = -12 + 8

Combine like terms: -12 + 8 = -4
1z = -4

Divide each side by '1'.
z = -4

Simplifying
z = -4

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