3z-2-7z=4z+6

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Solution for 3z-2-7z=4z+6 equation:


Simplifying
3z + -2 + -7z = 4z + 6

Reorder the terms:
-2 + 3z + -7z = 4z + 6

Combine like terms: 3z + -7z = -4z
-2 + -4z = 4z + 6

Reorder the terms:
-2 + -4z = 6 + 4z

Solving
-2 + -4z = 6 + 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.
-2 + -4z + -4z = 6 + 4z + -4z

Combine like terms: -4z + -4z = -8z
-2 + -8z = 6 + 4z + -4z

Combine like terms: 4z + -4z = 0
-2 + -8z = 6 + 0
-2 + -8z = 6

Add '2' to each side of the equation.
-2 + 2 + -8z = 6 + 2

Combine like terms: -2 + 2 = 0
0 + -8z = 6 + 2
-8z = 6 + 2

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

Divide each side by '-8'.
z = -1

Simplifying
z = -1

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