5.2=7.1z-6.1z+7.8

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Solution for 5.2=7.1z-6.1z+7.8 equation: 


Simplifying
5.2 = 7.1z + -6.1z + 7.8

Reorder the terms:
5.2 = 7.8 + 7.1z + -6.1z

Combine like terms: 7.1z + -6.1z = 1z
5.2 = 7.8 + 1z

Solving
5.2 = 7.8 + 1z

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.
5.2 + -1z = 7.8 + 1z + -1z

Combine like terms: 1z + -1z = 0
5.2 + -1z = 7.8 + 0
5.2 + -1z = 7.8

Add '-5.2' to each side of the equation.
5.2 + -5.2 + -1z = 7.8 + -5.2

Combine like terms: 5.2 + -5.2 = 0.0
0.0 + -1z = 7.8 + -5.2
-1z = 7.8 + -5.2

Combine like terms: 7.8 + -5.2 = 2.6
-1z = 2.6

Divide each side by '-1'.
z = -2.6

Simplifying
z = -2.6

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