4.1z+0.4=-1.6z+6.1

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Solution for 4.1z+0.4=-1.6z+6.1 equation: 


Simplifying
4.1z + 0.4 = -1.6z + 6.1

Reorder the terms:
0.4 + 4.1z = -1.6z + 6.1

Reorder the terms:
0.4 + 4.1z = 6.1 + -1.6z

Solving
0.4 + 4.1z = 6.1 + -1.6z

Solving for variable 'z'.

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

Add '1.6z' to each side of the equation.
0.4 + 4.1z + 1.6z = 6.1 + -1.6z + 1.6z

Combine like terms: 4.1z + 1.6z = 5.7z
0.4 + 5.7z = 6.1 + -1.6z + 1.6z

Combine like terms: -1.6z + 1.6z = 0.0
0.4 + 5.7z = 6.1 + 0.0
0.4 + 5.7z = 6.1

Add '-0.4' to each side of the equation.
0.4 + -0.4 + 5.7z = 6.1 + -0.4

Combine like terms: 0.4 + -0.4 = 0.0
0.0 + 5.7z = 6.1 + -0.4
5.7z = 6.1 + -0.4

Combine like terms: 6.1 + -0.4 = 5.7
5.7z = 5.7

Divide each side by '5.7'.
z = 1

Simplifying
z = 1

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