4z-27=42+7z

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Solution for 4z-27=42+7z equation:


Simplifying
4z + -27 = 42 + 7z

Reorder the terms:
-27 + 4z = 42 + 7z

Solving
-27 + 4z = 42 + 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.
-27 + 4z + -7z = 42 + 7z + -7z

Combine like terms: 4z + -7z = -3z
-27 + -3z = 42 + 7z + -7z

Combine like terms: 7z + -7z = 0
-27 + -3z = 42 + 0
-27 + -3z = 42

Add '27' to each side of the equation.
-27 + 27 + -3z = 42 + 27

Combine like terms: -27 + 27 = 0
0 + -3z = 42 + 27
-3z = 42 + 27

Combine like terms: 42 + 27 = 69
-3z = 69

Divide each side by '-3'.
z = -23

Simplifying
z = -23

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