6z+0.1=7z+0.4

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Solution for 6z+0.1=7z+0.4 equation: 


Simplifying
6z + 0.1 = 7z + 0.4

Reorder the terms:
0.1 + 6z = 7z + 0.4

Reorder the terms:
0.1 + 6z = 0.4 + 7z

Solving
0.1 + 6z = 0.4 + 7z

Solving for variable 'z'.

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

Add '-7z' to each side of the equation.
0.1 + 6z + -7z = 0.4 + 7z + -7z

Combine like terms: 6z + -7z = -1z
0.1 + -1z = 0.4 + 7z + -7z

Combine like terms: 7z + -7z = 0
0.1 + -1z = 0.4 + 0
0.1 + -1z = 0.4

Add '-0.1' to each side of the equation.
0.1 + -0.1 + -1z = 0.4 + -0.1

Combine like terms: 0.1 + -0.1 = 0.0
0.0 + -1z = 0.4 + -0.1
-1z = 0.4 + -0.1

Combine like terms: 0.4 + -0.1 = 0.3
-1z = 0.3

Divide each side by '-1'.
z = -0.3

Simplifying
z = -0.3

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