2z+4=6(z-2)

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Solution for 2z+4=6(z-2) equation:


Simplifying
2z + 4 = 6(z + -2)

Reorder the terms:
4 + 2z = 6(z + -2)

Reorder the terms:
4 + 2z = 6(-2 + z)
4 + 2z = (-2 * 6 + z * 6)
4 + 2z = (-12 + 6z)

Solving
4 + 2z = -12 + 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.
4 + 2z + -6z = -12 + 6z + -6z

Combine like terms: 2z + -6z = -4z
4 + -4z = -12 + 6z + -6z

Combine like terms: 6z + -6z = 0
4 + -4z = -12 + 0
4 + -4z = -12

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

Combine like terms: 4 + -4 = 0
0 + -4z = -12 + -4
-4z = -12 + -4

Combine like terms: -12 + -4 = -16
-4z = -16

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

Simplifying
z = 4

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