-5.7-22.7z=3.2(-6z-1)

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Solution for -5.7-22.7z=3.2(-6z-1) equation: 


Simplifying
-5.7 + -22.7z = 3.2(-6z + -1)

Reorder the terms:
-5.7 + -22.7z = 3.2(-1 + -6z)
-5.7 + -22.7z = (-1 * 3.2 + -6z * 3.2)
-5.7 + -22.7z = (-3.2 + -19.2z)

Solving
-5.7 + -22.7z = -3.2 + -19.2z

Solving for variable 'z'.

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

Add '19.2z' to each side of the equation.
-5.7 + -22.7z + 19.2z = -3.2 + -19.2z + 19.2z

Combine like terms: -22.7z + 19.2z = -3.5z
-5.7 + -3.5z = -3.2 + -19.2z + 19.2z

Combine like terms: -19.2z + 19.2z = 0.0
-5.7 + -3.5z = -3.2 + 0.0
-5.7 + -3.5z = -3.2

Add '5.7' to each side of the equation.
-5.7 + 5.7 + -3.5z = -3.2 + 5.7

Combine like terms: -5.7 + 5.7 = 0.0
0.0 + -3.5z = -3.2 + 5.7
-3.5z = -3.2 + 5.7

Combine like terms: -3.2 + 5.7 = 2.5
-3.5z = 2.5

Divide each side by '-3.5'.
z = -0.7142857143

Simplifying
z = -0.7142857143

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