3z-4=7z+4

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


Simplifying
3z + -4 = 7z + 4

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

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

Solving
-4 + 3z = 4 + 7z

Solving for variable 'z'.

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

Add '-7z' to each side of the equation.
-4 + 3z + -7z = 4 + 7z + -7z

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

Combine like terms: 7z + -7z = 0
-4 + -4z = 4 + 0
-4 + -4z = 4

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

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

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

Divide each side by '-4'.
z = -2

Simplifying
z = -2

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