11z-3=7z-27

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Solution for 11z-3=7z-27 equation:


Simplifying
11z + -3 = 7z + -27

Reorder the terms:
-3 + 11z = 7z + -27

Reorder the terms:
-3 + 11z = -27 + 7z

Solving
-3 + 11z = -27 + 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.
-3 + 11z + -7z = -27 + 7z + -7z

Combine like terms: 11z + -7z = 4z
-3 + 4z = -27 + 7z + -7z

Combine like terms: 7z + -7z = 0
-3 + 4z = -27 + 0
-3 + 4z = -27

Add '3' to each side of the equation.
-3 + 3 + 4z = -27 + 3

Combine like terms: -3 + 3 = 0
0 + 4z = -27 + 3
4z = -27 + 3

Combine like terms: -27 + 3 = -24
4z = -24

Divide each side by '4'.
z = -6

Simplifying
z = -6

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