4z-4=z+11

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Solution for 4z-4=z+11 equation:


Simplifying
4z + -4 = z + 11

Reorder the terms:
-4 + 4z = z + 11

Reorder the terms:
-4 + 4z = 11 + z

Solving
-4 + 4z = 11 + z

Solving for variable 'z'.

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

Add '-1z' to each side of the equation.
-4 + 4z + -1z = 11 + z + -1z

Combine like terms: 4z + -1z = 3z
-4 + 3z = 11 + z + -1z

Combine like terms: z + -1z = 0
-4 + 3z = 11 + 0
-4 + 3z = 11

Add '4' to each side of the equation.
-4 + 4 + 3z = 11 + 4

Combine like terms: -4 + 4 = 0
0 + 3z = 11 + 4
3z = 11 + 4

Combine like terms: 11 + 4 = 15
3z = 15

Divide each side by '3'.
z = 5

Simplifying
z = 5

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