4z-11=z+49

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Solution for 4z-11=z+49 equation:


Simplifying
4z + -11 = z + 49

Reorder the terms:
-11 + 4z = z + 49

Reorder the terms:
-11 + 4z = 49 + z

Solving
-11 + 4z = 49 + 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.
-11 + 4z + -1z = 49 + z + -1z

Combine like terms: 4z + -1z = 3z
-11 + 3z = 49 + z + -1z

Combine like terms: z + -1z = 0
-11 + 3z = 49 + 0
-11 + 3z = 49

Add '11' to each side of the equation.
-11 + 11 + 3z = 49 + 11

Combine like terms: -11 + 11 = 0
0 + 3z = 49 + 11
3z = 49 + 11

Combine like terms: 49 + 11 = 60
3z = 60

Divide each side by '3'.
z = 20

Simplifying
z = 20

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