7z-9=3z+19

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Solution for 7z-9=3z+19 equation:


Simplifying
7z + -9 = 3z + 19

Reorder the terms:
-9 + 7z = 3z + 19

Reorder the terms:
-9 + 7z = 19 + 3z

Solving
-9 + 7z = 19 + 3z

Solving for variable 'z'.

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

Add '-3z' to each side of the equation.
-9 + 7z + -3z = 19 + 3z + -3z

Combine like terms: 7z + -3z = 4z
-9 + 4z = 19 + 3z + -3z

Combine like terms: 3z + -3z = 0
-9 + 4z = 19 + 0
-9 + 4z = 19

Add '9' to each side of the equation.
-9 + 9 + 4z = 19 + 9

Combine like terms: -9 + 9 = 0
0 + 4z = 19 + 9
4z = 19 + 9

Combine like terms: 19 + 9 = 28
4z = 28

Divide each side by '4'.
z = 7

Simplifying
z = 7

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