2z-4-8z+9=10z-6+2-12

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Solution for 2z-4-8z+9=10z-6+2-12 equation: 


Simplifying
2z + -4 + -8z + 9 = 10z + -6 + 2 + -12

Reorder the terms:
-4 + 9 + 2z + -8z = 10z + -6 + 2 + -12

Combine like terms: -4 + 9 = 5
5 + 2z + -8z = 10z + -6 + 2 + -12

Combine like terms: 2z + -8z = -6z
5 + -6z = 10z + -6 + 2 + -12

Reorder the terms:
5 + -6z = -6 + 2 + -12 + 10z

Combine like terms: -6 + 2 = -4
5 + -6z = -4 + -12 + 10z

Combine like terms: -4 + -12 = -16
5 + -6z = -16 + 10z

Solving
5 + -6z = -16 + 10z

Solving for variable 'z'.

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

Add '-10z' to each side of the equation.
5 + -6z + -10z = -16 + 10z + -10z

Combine like terms: -6z + -10z = -16z
5 + -16z = -16 + 10z + -10z

Combine like terms: 10z + -10z = 0
5 + -16z = -16 + 0
5 + -16z = -16

Add '-5' to each side of the equation.
5 + -5 + -16z = -16 + -5

Combine like terms: 5 + -5 = 0
0 + -16z = -16 + -5
-16z = -16 + -5

Combine like terms: -16 + -5 = -21
-16z = -21

Divide each side by '-16'.
z = 1.3125

Simplifying
z = 1.3125

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