6.1z+2.2=0.5z-3.4

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Solution for 6.1z+2.2=0.5z-3.4 equation: 


Simplifying
6.1z + 2.2 = 0.5z + -3.4

Reorder the terms:
2.2 + 6.1z = 0.5z + -3.4

Reorder the terms:
2.2 + 6.1z = -3.4 + 0.5z

Solving
2.2 + 6.1z = -3.4 + 0.5z

Solving for variable 'z'.

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

Add '-0.5z' to each side of the equation.
2.2 + 6.1z + -0.5z = -3.4 + 0.5z + -0.5z

Combine like terms: 6.1z + -0.5z = 5.6z
2.2 + 5.6z = -3.4 + 0.5z + -0.5z

Combine like terms: 0.5z + -0.5z = 0.0
2.2 + 5.6z = -3.4 + 0.0
2.2 + 5.6z = -3.4

Add '-2.2' to each side of the equation.
2.2 + -2.2 + 5.6z = -3.4 + -2.2

Combine like terms: 2.2 + -2.2 = 0.0
0.0 + 5.6z = -3.4 + -2.2
5.6z = -3.4 + -2.2

Combine like terms: -3.4 + -2.2 = -5.6
5.6z = -5.6

Divide each side by '5.6'.
z = -1

Simplifying
z = -1

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