11.6z-18=-0.5z+18.96+16.3z

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Solution for 11.6z-18=-0.5z+18.96+16.3z equation:


Simplifying
11.6z + -18 = -0.5z + 18.96 + 16.3z

Reorder the terms:
-18 + 11.6z = -0.5z + 18.96 + 16.3z

Reorder the terms:
-18 + 11.6z = 18.96 + -0.5z + 16.3z

Combine like terms: -0.5z + 16.3z = 15.8z
-18 + 11.6z = 18.96 + 15.8z

Solving
-18 + 11.6z = 18.96 + 15.8z

Solving for variable 'z'.

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

Add '-15.8z' to each side of the equation.
-18 + 11.6z + -15.8z = 18.96 + 15.8z + -15.8z

Combine like terms: 11.6z + -15.8z = -4.2z
-18 + -4.2z = 18.96 + 15.8z + -15.8z

Combine like terms: 15.8z + -15.8z = 0.0
-18 + -4.2z = 18.96 + 0.0
-18 + -4.2z = 18.96

Add '18' to each side of the equation.
-18 + 18 + -4.2z = 18.96 + 18

Combine like terms: -18 + 18 = 0
0 + -4.2z = 18.96 + 18
-4.2z = 18.96 + 18

Combine like terms: 18.96 + 18 = 36.96
-4.2z = 36.96

Divide each side by '-4.2'.
z = -8.8

Simplifying
z = -8.8

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