10-4z=20-2z+2

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Solution for 10-4z=20-2z+2 equation:


Simplifying
10 + -4z = 20 + -2z + 2

Reorder the terms:
10 + -4z = 20 + 2 + -2z

Combine like terms: 20 + 2 = 22
10 + -4z = 22 + -2z

Solving
10 + -4z = 22 + -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.
10 + -4z + 2z = 22 + -2z + 2z

Combine like terms: -4z + 2z = -2z
10 + -2z = 22 + -2z + 2z

Combine like terms: -2z + 2z = 0
10 + -2z = 22 + 0
10 + -2z = 22

Add '-10' to each side of the equation.
10 + -10 + -2z = 22 + -10

Combine like terms: 10 + -10 = 0
0 + -2z = 22 + -10
-2z = 22 + -10

Combine like terms: 22 + -10 = 12
-2z = 12

Divide each side by '-2'.
z = -6

Simplifying
z = -6

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