0.7z+1.9+0.1z=55-0.4z

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Solution for 0.7z+1.9+0.1z=55-0.4z equation: 


Simplifying
0.7z + 1.9 + 0.1z = 55 + -0.4z

Reorder the terms:
1.9 + 0.7z + 0.1z = 55 + -0.4z

Combine like terms: 0.7z + 0.1z = 0.8z
1.9 + 0.8z = 55 + -0.4z

Solving
1.9 + 0.8z = 55 + -0.4z

Solving for variable 'z'.

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

Add '0.4z' to each side of the equation.
1.9 + 0.8z + 0.4z = 55 + -0.4z + 0.4z

Combine like terms: 0.8z + 0.4z = 1.2z
1.9 + 1.2z = 55 + -0.4z + 0.4z

Combine like terms: -0.4z + 0.4z = 0.0
1.9 + 1.2z = 55 + 0.0
1.9 + 1.2z = 55

Add '-1.9' to each side of the equation.
1.9 + -1.9 + 1.2z = 55 + -1.9

Combine like terms: 1.9 + -1.9 = 0.0
0.0 + 1.2z = 55 + -1.9
1.2z = 55 + -1.9

Combine like terms: 55 + -1.9 = 53.1
1.2z = 53.1

Divide each side by '1.2'.
z = 44.25

Simplifying
z = 44.25

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