(3z-8)=(z+4)

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Solution for (3z-8)=(z+4) equation:


Simplifying
(3z + -8) = (z + 4)

Reorder the terms:
(-8 + 3z) = (z + 4)

Remove parenthesis around (-8 + 3z)
-8 + 3z = (z + 4)

Reorder the terms:
-8 + 3z = (4 + z)

Remove parenthesis around (4 + z)
-8 + 3z = 4 + z

Solving
-8 + 3z = 4 + z

Solving for variable 'z'.

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

Add '-1z' to each side of the equation.
-8 + 3z + -1z = 4 + z + -1z

Combine like terms: 3z + -1z = 2z
-8 + 2z = 4 + z + -1z

Combine like terms: z + -1z = 0
-8 + 2z = 4 + 0
-8 + 2z = 4

Add '8' to each side of the equation.
-8 + 8 + 2z = 4 + 8

Combine like terms: -8 + 8 = 0
0 + 2z = 4 + 8
2z = 4 + 8

Combine like terms: 4 + 8 = 12
2z = 12

Divide each side by '2'.
z = 6

Simplifying
z = 6

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