12-4+2+4z=-14z+10z-6+8

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Solution for 12-4+2+4z=-14z+10z-6+8 equation: 


Simplifying
12 + -4 + 2 + 4z = -14z + 10z + -6 + 8

Combine like terms: 12 + -4 = 8
8 + 2 + 4z = -14z + 10z + -6 + 8

Combine like terms: 8 + 2 = 10
10 + 4z = -14z + 10z + -6 + 8

Reorder the terms:
10 + 4z = -6 + 8 + -14z + 10z

Combine like terms: -6 + 8 = 2
10 + 4z = 2 + -14z + 10z

Combine like terms: -14z + 10z = -4z
10 + 4z = 2 + -4z

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

Combine like terms: 4z + 4z = 8z
10 + 8z = 2 + -4z + 4z

Combine like terms: -4z + 4z = 0
10 + 8z = 2 + 0
10 + 8z = 2

Add '-10' to each side of the equation.
10 + -10 + 8z = 2 + -10

Combine like terms: 10 + -10 = 0
0 + 8z = 2 + -10
8z = 2 + -10

Combine like terms: 2 + -10 = -8
8z = -8

Divide each side by '8'.
z = -1

Simplifying
z = -1

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