9+11z-5=7z+46-2z

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Solution for 9+11z-5=7z+46-2z equation:


Simplifying
9 + 11z + -5 = 7z + 46 + -2z

Reorder the terms:
9 + -5 + 11z = 7z + 46 + -2z

Combine like terms: 9 + -5 = 4
4 + 11z = 7z + 46 + -2z

Reorder the terms:
4 + 11z = 46 + 7z + -2z

Combine like terms: 7z + -2z = 5z
4 + 11z = 46 + 5z

Solving
4 + 11z = 46 + 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.
4 + 11z + -5z = 46 + 5z + -5z

Combine like terms: 11z + -5z = 6z
4 + 6z = 46 + 5z + -5z

Combine like terms: 5z + -5z = 0
4 + 6z = 46 + 0
4 + 6z = 46

Add '-4' to each side of the equation.
4 + -4 + 6z = 46 + -4

Combine like terms: 4 + -4 = 0
0 + 6z = 46 + -4
6z = 46 + -4

Combine like terms: 46 + -4 = 42
6z = 42

Divide each side by '6'.
z = 7

Simplifying
z = 7

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