4+9z-2=7z+51-5z

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Solution for 4+9z-2=7z+51-5z equation: 


Simplifying
4 + 9z + -2 = 7z + 51 + -5z

Reorder the terms:
4 + -2 + 9z = 7z + 51 + -5z

Combine like terms: 4 + -2 = 2
2 + 9z = 7z + 51 + -5z

Reorder the terms:
2 + 9z = 51 + 7z + -5z

Combine like terms: 7z + -5z = 2z
2 + 9z = 51 + 2z

Solving
2 + 9z = 51 + 2z

Solving for variable 'z'.

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

Add '-2z' to each side of the equation.
2 + 9z + -2z = 51 + 2z + -2z

Combine like terms: 9z + -2z = 7z
2 + 7z = 51 + 2z + -2z

Combine like terms: 2z + -2z = 0
2 + 7z = 51 + 0
2 + 7z = 51

Add '-2' to each side of the equation.
2 + -2 + 7z = 51 + -2

Combine like terms: 2 + -2 = 0
0 + 7z = 51 + -2
7z = 51 + -2

Combine like terms: 51 + -2 = 49
7z = 49

Divide each side by '7'.
z = 7

Simplifying
z = 7

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