3z+4=5z-4

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Solution for 3z+4=5z-4 equation:


Simplifying
3z + 4 = 5z + -4

Reorder the terms:
4 + 3z = 5z + -4

Reorder the terms:
4 + 3z = -4 + 5z

Solving
4 + 3z = -4 + 5z

Solving for variable 'z'.

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

Add '-5z' to each side of the equation.
4 + 3z + -5z = -4 + 5z + -5z

Combine like terms: 3z + -5z = -2z
4 + -2z = -4 + 5z + -5z

Combine like terms: 5z + -5z = 0
4 + -2z = -4 + 0
4 + -2z = -4

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

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

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

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

Simplifying
z = 4

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