(z-2)+(z-1)+z=-3

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Solution for (z-2)+(z-1)+z=-3 equation:


Simplifying
(z + -2) + (z + -1) + z = -3

Reorder the terms:
(-2 + z) + (z + -1) + z = -3

Remove parenthesis around (-2 + z)
-2 + z + (z + -1) + z = -3

Reorder the terms:
-2 + z + (-1 + z) + z = -3

Remove parenthesis around (-1 + z)
-2 + z + -1 + z + z = -3

Reorder the terms:
-2 + -1 + z + z + z = -3

Combine like terms: -2 + -1 = -3
-3 + z + z + z = -3

Combine like terms: z + z = 2z
-3 + 2z + z = -3

Combine like terms: 2z + z = 3z
-3 + 3z = -3

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

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

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

Solving
3z = 0

Solving for variable 'z'.

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

Divide each side by '3'.
z = 0

Simplifying
z = 0

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