6+19z-1=7z+33-2z

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Solution for 6+19z-1=7z+33-2z equation: 


Simplifying
6 + 19z + -1 = 7z + 33 + -2z

Reorder the terms:
6 + -1 + 19z = 7z + 33 + -2z

Combine like terms: 6 + -1 = 5
5 + 19z = 7z + 33 + -2z

Reorder the terms:
5 + 19z = 33 + 7z + -2z

Combine like terms: 7z + -2z = 5z
5 + 19z = 33 + 5z

Solving
5 + 19z = 33 + 5z

Solving for variable 'z'.

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

Add '-5z' to each side of the equation.
5 + 19z + -5z = 33 + 5z + -5z

Combine like terms: 19z + -5z = 14z
5 + 14z = 33 + 5z + -5z

Combine like terms: 5z + -5z = 0
5 + 14z = 33 + 0
5 + 14z = 33

Add '-5' to each side of the equation.
5 + -5 + 14z = 33 + -5

Combine like terms: 5 + -5 = 0
0 + 14z = 33 + -5
14z = 33 + -5

Combine like terms: 33 + -5 = 28
14z = 28

Divide each side by '14'.
z = 2

Simplifying
z = 2

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