7+11z-3=7z+31-5z

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Solution for 7+11z-3=7z+31-5z equation:


Simplifying
7 + 11z + -3 = 7z + 31 + -5z

Reorder the terms:
7 + -3 + 11z = 7z + 31 + -5z

Combine like terms: 7 + -3 = 4
4 + 11z = 7z + 31 + -5z

Reorder the terms:
4 + 11z = 31 + 7z + -5z

Combine like terms: 7z + -5z = 2z
4 + 11z = 31 + 2z

Solving
4 + 11z = 31 + 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.
4 + 11z + -2z = 31 + 2z + -2z

Combine like terms: 11z + -2z = 9z
4 + 9z = 31 + 2z + -2z

Combine like terms: 2z + -2z = 0
4 + 9z = 31 + 0
4 + 9z = 31

Add '-4' to each side of the equation.
4 + -4 + 9z = 31 + -4

Combine like terms: 4 + -4 = 0
0 + 9z = 31 + -4
9z = 31 + -4

Combine like terms: 31 + -4 = 27
9z = 27

Divide each side by '9'.
z = 3

Simplifying
z = 3

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