10.9=-z+6.6z-10.1

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Solution for 10.9=-z+6.6z-10.1 equation: 


Simplifying
10.9 = -1z + 6.6z + -10.1

Reorder the terms:
10.9 = -10.1 + -1z + 6.6z

Combine like terms: -1z + 6.6z = 5.6z
10.9 = -10.1 + 5.6z

Solving
10.9 = -10.1 + 5.6z

Solving for variable 'z'.

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

Add '-5.6z' to each side of the equation.
10.9 + -5.6z = -10.1 + 5.6z + -5.6z

Combine like terms: 5.6z + -5.6z = 0.0
10.9 + -5.6z = -10.1 + 0.0
10.9 + -5.6z = -10.1

Add '-10.9' to each side of the equation.
10.9 + -10.9 + -5.6z = -10.1 + -10.9

Combine like terms: 10.9 + -10.9 = 0.0
0.0 + -5.6z = -10.1 + -10.9
-5.6z = -10.1 + -10.9

Combine like terms: -10.1 + -10.9 = -21
-5.6z = -21

Divide each side by '-5.6'.
z = 3.75

Simplifying
z = 3.75

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