3.4*z+6.3=-1.7*z+47.1

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Solution for 3.4*z+6.3=-1.7*z+47.1 equation: 


Simplifying
3.4z + 6.3 = -1.7z + 47.1

Reorder the terms:
6.3 + 3.4z = -1.7z + 47.1

Reorder the terms:
6.3 + 3.4z = 47.1 + -1.7z

Solving
6.3 + 3.4z = 47.1 + -1.7z

Solving for variable 'z'.

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

Add '1.7z' to each side of the equation.
6.3 + 3.4z + 1.7z = 47.1 + -1.7z + 1.7z

Combine like terms: 3.4z + 1.7z = 5.1z
6.3 + 5.1z = 47.1 + -1.7z + 1.7z

Combine like terms: -1.7z + 1.7z = 0.0
6.3 + 5.1z = 47.1 + 0.0
6.3 + 5.1z = 47.1

Add '-6.3' to each side of the equation.
6.3 + -6.3 + 5.1z = 47.1 + -6.3

Combine like terms: 6.3 + -6.3 = 0.0
0.0 + 5.1z = 47.1 + -6.3
5.1z = 47.1 + -6.3

Combine like terms: 47.1 + -6.3 = 40.8
5.1z = 40.8

Divide each side by '5.1'.
z = 8

Simplifying
z = 8

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