3z-8=4z-2

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Solution for 3z-8=4z-2 equation:


Simplifying
3z + -8 = 4z + -2

Reorder the terms:
-8 + 3z = 4z + -2

Reorder the terms:
-8 + 3z = -2 + 4z

Solving
-8 + 3z = -2 + 4z

Solving for variable 'z'.

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

Add '-4z' to each side of the equation.
-8 + 3z + -4z = -2 + 4z + -4z

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

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

Add '8' to each side of the equation.
-8 + 8 + -1z = -2 + 8

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

Combine like terms: -2 + 8 = 6
-1z = 6

Divide each side by '-1'.
z = -6

Simplifying
z = -6

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