5.5z+8=z-4

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Solution for 5.5z+8=z-4 equation: 


Simplifying
5.5z + 8 = z + -4

Reorder the terms:
8 + 5.5z = z + -4

Reorder the terms:
8 + 5.5z = -4 + z

Solving
8 + 5.5z = -4 + 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.
8 + 5.5z + -1z = -4 + z + -1z

Combine like terms: 5.5z + -1z = 4.5z
8 + 4.5z = -4 + z + -1z

Combine like terms: z + -1z = 0
8 + 4.5z = -4 + 0
8 + 4.5z = -4

Add '-8' to each side of the equation.
8 + -8 + 4.5z = -4 + -8

Combine like terms: 8 + -8 = 0
0 + 4.5z = -4 + -8
4.5z = -4 + -8

Combine like terms: -4 + -8 = -12
4.5z = -12

Divide each side by '4.5'.
z = -2.666666667

Simplifying
z = -2.666666667

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