7+9z-4=6z+38-4z

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Solution for 7+9z-4=6z+38-4z equation:


Simplifying
7 + 9z + -4 = 6z + 38 + -4z

Reorder the terms:
7 + -4 + 9z = 6z + 38 + -4z

Combine like terms: 7 + -4 = 3
3 + 9z = 6z + 38 + -4z

Reorder the terms:
3 + 9z = 38 + 6z + -4z

Combine like terms: 6z + -4z = 2z
3 + 9z = 38 + 2z

Solving
3 + 9z = 38 + 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.
3 + 9z + -2z = 38 + 2z + -2z

Combine like terms: 9z + -2z = 7z
3 + 7z = 38 + 2z + -2z

Combine like terms: 2z + -2z = 0
3 + 7z = 38 + 0
3 + 7z = 38

Add '-3' to each side of the equation.
3 + -3 + 7z = 38 + -3

Combine like terms: 3 + -3 = 0
0 + 7z = 38 + -3
7z = 38 + -3

Combine like terms: 38 + -3 = 35
7z = 35

Divide each side by '7'.
z = 5

Simplifying
z = 5

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