4z+5=5z-9

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Solution for 4z+5=5z-9 equation:


Simplifying
4z + 5 = 5z + -9

Reorder the terms:
5 + 4z = 5z + -9

Reorder the terms:
5 + 4z = -9 + 5z

Solving
5 + 4z = -9 + 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.
5 + 4z + -5z = -9 + 5z + -5z

Combine like terms: 4z + -5z = -1z
5 + -1z = -9 + 5z + -5z

Combine like terms: 5z + -5z = 0
5 + -1z = -9 + 0
5 + -1z = -9

Add '-5' to each side of the equation.
5 + -5 + -1z = -9 + -5

Combine like terms: 5 + -5 = 0
0 + -1z = -9 + -5
-1z = -9 + -5

Combine like terms: -9 + -5 = -14
-1z = -14

Divide each side by '-1'.
z = 14

Simplifying
z = 14

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