3z-4-8+9=10z-6+z-12

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Solution for 3z-4-8+9=10z-6+z-12 equation: 


Simplifying
3z + -4 + -8 + 9 = 10z + -6 + z + -12

Reorder the terms:
-4 + -8 + 9 + 3z = 10z + -6 + z + -12

Combine like terms: -4 + -8 = -12
-12 + 9 + 3z = 10z + -6 + z + -12

Combine like terms: -12 + 9 = -3
-3 + 3z = 10z + -6 + z + -12

Reorder the terms:
-3 + 3z = -6 + -12 + 10z + z

Combine like terms: -6 + -12 = -18
-3 + 3z = -18 + 10z + z

Combine like terms: 10z + z = 11z
-3 + 3z = -18 + 11z

Solving
-3 + 3z = -18 + 11z

Solving for variable 'z'.

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

Add '-11z' to each side of the equation.
-3 + 3z + -11z = -18 + 11z + -11z

Combine like terms: 3z + -11z = -8z
-3 + -8z = -18 + 11z + -11z

Combine like terms: 11z + -11z = 0
-3 + -8z = -18 + 0
-3 + -8z = -18

Add '3' to each side of the equation.
-3 + 3 + -8z = -18 + 3

Combine like terms: -3 + 3 = 0
0 + -8z = -18 + 3
-8z = -18 + 3

Combine like terms: -18 + 3 = -15
-8z = -15

Divide each side by '-8'.
z = 1.875

Simplifying
z = 1.875

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