0.7z+3.8=0.1z+8

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Solution for 0.7z+3.8=0.1z+8 equation: 


Simplifying
0.7z + 3.8 = 0.1z + 8

Reorder the terms:
3.8 + 0.7z = 0.1z + 8

Reorder the terms:
3.8 + 0.7z = 8 + 0.1z

Solving
3.8 + 0.7z = 8 + 0.1z

Solving for variable 'z'.

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

Add '-0.1z' to each side of the equation.
3.8 + 0.7z + -0.1z = 8 + 0.1z + -0.1z

Combine like terms: 0.7z + -0.1z = 0.6z
3.8 + 0.6z = 8 + 0.1z + -0.1z

Combine like terms: 0.1z + -0.1z = 0.0
3.8 + 0.6z = 8 + 0.0
3.8 + 0.6z = 8

Add '-3.8' to each side of the equation.
3.8 + -3.8 + 0.6z = 8 + -3.8

Combine like terms: 3.8 + -3.8 = 0.0
0.0 + 0.6z = 8 + -3.8
0.6z = 8 + -3.8

Combine like terms: 8 + -3.8 = 4.2
0.6z = 4.2

Divide each side by '0.6'.
z = 7

Simplifying
z = 7

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