4+11z-3=8z+31-2z

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Solution for 4+11z-3=8z+31-2z equation: 


Simplifying
4 + 11z + -3 = 8z + 31 + -2z

Reorder the terms:
4 + -3 + 11z = 8z + 31 + -2z

Combine like terms: 4 + -3 = 1
1 + 11z = 8z + 31 + -2z

Reorder the terms:
1 + 11z = 31 + 8z + -2z

Combine like terms: 8z + -2z = 6z
1 + 11z = 31 + 6z

Solving
1 + 11z = 31 + 6z

Solving for variable 'z'.

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

Add '-6z' to each side of the equation.
1 + 11z + -6z = 31 + 6z + -6z

Combine like terms: 11z + -6z = 5z
1 + 5z = 31 + 6z + -6z

Combine like terms: 6z + -6z = 0
1 + 5z = 31 + 0
1 + 5z = 31

Add '-1' to each side of the equation.
1 + -1 + 5z = 31 + -1

Combine like terms: 1 + -1 = 0
0 + 5z = 31 + -1
5z = 31 + -1

Combine like terms: 31 + -1 = 30
5z = 30

Divide each side by '5'.
z = 6

Simplifying
z = 6

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