4z+z-2=z+5

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Solution for 4z+z-2=z+5 equation:


Simplifying
4z + z + -2 = z + 5

Reorder the terms:
-2 + 4z + z = z + 5

Combine like terms: 4z + z = 5z
-2 + 5z = z + 5

Reorder the terms:
-2 + 5z = 5 + z

Solving
-2 + 5z = 5 + 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.
-2 + 5z + -1z = 5 + z + -1z

Combine like terms: 5z + -1z = 4z
-2 + 4z = 5 + z + -1z

Combine like terms: z + -1z = 0
-2 + 4z = 5 + 0
-2 + 4z = 5

Add '2' to each side of the equation.
-2 + 2 + 4z = 5 + 2

Combine like terms: -2 + 2 = 0
0 + 4z = 5 + 2
4z = 5 + 2

Combine like terms: 5 + 2 = 7
4z = 7

Divide each side by '4'.
z = 1.75

Simplifying
z = 1.75

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