4z+5=9z-27

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Solution for 4z+5=9z-27 equation:


Simplifying
4z + 5 = 9z + -27

Reorder the terms:
5 + 4z = 9z + -27

Reorder the terms:
5 + 4z = -27 + 9z

Solving
5 + 4z = -27 + 9z

Solving for variable 'z'.

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

Add '-9z' to each side of the equation.
5 + 4z + -9z = -27 + 9z + -9z

Combine like terms: 4z + -9z = -5z
5 + -5z = -27 + 9z + -9z

Combine like terms: 9z + -9z = 0
5 + -5z = -27 + 0
5 + -5z = -27

Add '-5' to each side of the equation.
5 + -5 + -5z = -27 + -5

Combine like terms: 5 + -5 = 0
0 + -5z = -27 + -5
-5z = -27 + -5

Combine like terms: -27 + -5 = -32
-5z = -32

Divide each side by '-5'.
z = 6.4

Simplifying
z = 6.4

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