10*(12-5*z)=110*(20-z)

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Solution for 10*(12-5*z)=110*(20-z) equation: 


Simplifying
10(12 + -5z) = 110(20 + -1z)
(12 * 10 + -5z * 10) = 110(20 + -1z)
(120 + -50z) = 110(20 + -1z)
120 + -50z = (20 * 110 + -1z * 110)
120 + -50z = (2200 + -110z)

Solving
120 + -50z = 2200 + -110z

Solving for variable 'z'.

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

Add '110z' to each side of the equation.
120 + -50z + 110z = 2200 + -110z + 110z

Combine like terms: -50z + 110z = 60z
120 + 60z = 2200 + -110z + 110z

Combine like terms: -110z + 110z = 0
120 + 60z = 2200 + 0
120 + 60z = 2200

Add '-120' to each side of the equation.
120 + -120 + 60z = 2200 + -120

Combine like terms: 120 + -120 = 0
0 + 60z = 2200 + -120
60z = 2200 + -120

Combine like terms: 2200 + -120 = 2080
60z = 2080

Divide each side by '60'.
z = 34.66666667

Simplifying
z = 34.66666667

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