6+13z-4=9z+24-7z

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Solution for 6+13z-4=9z+24-7z equation: 


Simplifying
6 + 13z + -4 = 9z + 24 + -7z

Reorder the terms:
6 + -4 + 13z = 9z + 24 + -7z

Combine like terms: 6 + -4 = 2
2 + 13z = 9z + 24 + -7z

Reorder the terms:
2 + 13z = 24 + 9z + -7z

Combine like terms: 9z + -7z = 2z
2 + 13z = 24 + 2z

Solving
2 + 13z = 24 + 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 + 13z + -2z = 24 + 2z + -2z

Combine like terms: 13z + -2z = 11z
2 + 11z = 24 + 2z + -2z

Combine like terms: 2z + -2z = 0
2 + 11z = 24 + 0
2 + 11z = 24

Add '-2' to each side of the equation.
2 + -2 + 11z = 24 + -2

Combine like terms: 2 + -2 = 0
0 + 11z = 24 + -2
11z = 24 + -2

Combine like terms: 24 + -2 = 22
11z = 22

Divide each side by '11'.
z = 2

Simplifying
z = 2

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