2z-6=4z-20

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Solution for 2z-6=4z-20 equation:


Simplifying
2z + -6 = 4z + -20

Reorder the terms:
-6 + 2z = 4z + -20

Reorder the terms:
-6 + 2z = -20 + 4z

Solving
-6 + 2z = -20 + 4z

Solving for variable 'z'.

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

Add '-4z' to each side of the equation.
-6 + 2z + -4z = -20 + 4z + -4z

Combine like terms: 2z + -4z = -2z
-6 + -2z = -20 + 4z + -4z

Combine like terms: 4z + -4z = 0
-6 + -2z = -20 + 0
-6 + -2z = -20

Add '6' to each side of the equation.
-6 + 6 + -2z = -20 + 6

Combine like terms: -6 + 6 = 0
0 + -2z = -20 + 6
-2z = -20 + 6

Combine like terms: -20 + 6 = -14
-2z = -14

Divide each side by '-2'.
z = 7

Simplifying
z = 7

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