z+2.6z-5.5=(z-0.3)

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Solution for z+2.6z-5.5=(z-0.3) equation:


Simplifying
z + 2.6z + -5.5 = (z + -0.3)

Reorder the terms:
-5.5 + z + 2.6z = (z + -0.3)

Combine like terms: z + 2.6z = 3.6z
-5.5 + 3.6z = (z + -0.3)

Reorder the terms:
-5.5 + 3.6z = (-0.3 + z)

Remove parenthesis around (-0.3 + z)
-5.5 + 3.6z = -0.3 + z

Solving
-5.5 + 3.6z = -0.3 + 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.
-5.5 + 3.6z + -1z = -0.3 + z + -1z

Combine like terms: 3.6z + -1z = 2.6z
-5.5 + 2.6z = -0.3 + z + -1z

Combine like terms: z + -1z = 0
-5.5 + 2.6z = -0.3 + 0
-5.5 + 2.6z = -0.3

Add '5.5' to each side of the equation.
-5.5 + 5.5 + 2.6z = -0.3 + 5.5

Combine like terms: -5.5 + 5.5 = 0.0
0.0 + 2.6z = -0.3 + 5.5
2.6z = -0.3 + 5.5

Combine like terms: -0.3 + 5.5 = 5.2
2.6z = 5.2

Divide each side by '2.6'.
z = 2

Simplifying
z = 2

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