7z-4=3z+16

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Solution for 7z-4=3z+16 equation:


Simplifying
7z + -4 = 3z + 16

Reorder the terms:
-4 + 7z = 3z + 16

Reorder the terms:
-4 + 7z = 16 + 3z

Solving
-4 + 7z = 16 + 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.
-4 + 7z + -3z = 16 + 3z + -3z

Combine like terms: 7z + -3z = 4z
-4 + 4z = 16 + 3z + -3z

Combine like terms: 3z + -3z = 0
-4 + 4z = 16 + 0
-4 + 4z = 16

Add '4' to each side of the equation.
-4 + 4 + 4z = 16 + 4

Combine like terms: -4 + 4 = 0
0 + 4z = 16 + 4
4z = 16 + 4

Combine like terms: 16 + 4 = 20
4z = 20

Divide each side by '4'.
z = 5

Simplifying
z = 5

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