-19.74+5.2z=-3.5z+11.46+19.1z

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Solution for -19.74+5.2z=-3.5z+11.46+19.1z equation: 


Simplifying
-19.74 + 5.2z = -3.5z + 11.46 + 19.1z

Reorder the terms:
-19.74 + 5.2z = 11.46 + -3.5z + 19.1z

Combine like terms: -3.5z + 19.1z = 15.6z
-19.74 + 5.2z = 11.46 + 15.6z

Solving
-19.74 + 5.2z = 11.46 + 15.6z

Solving for variable 'z'.

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

Add '-15.6z' to each side of the equation.
-19.74 + 5.2z + -15.6z = 11.46 + 15.6z + -15.6z

Combine like terms: 5.2z + -15.6z = -10.4z
-19.74 + -10.4z = 11.46 + 15.6z + -15.6z

Combine like terms: 15.6z + -15.6z = 0.0
-19.74 + -10.4z = 11.46 + 0.0
-19.74 + -10.4z = 11.46

Add '19.74' to each side of the equation.
-19.74 + 19.74 + -10.4z = 11.46 + 19.74

Combine like terms: -19.74 + 19.74 = 0.00
0.00 + -10.4z = 11.46 + 19.74
-10.4z = 11.46 + 19.74

Combine like terms: 11.46 + 19.74 = 31.2
-10.4z = 31.2

Divide each side by '-10.4'.
z = -3

Simplifying
z = -3

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