5z+3(3z-8)=12+182

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Solution for 5z+3(3z-8)=12+182 equation: 


Simplifying
5z + 3(3z + -8) = 12 + 182

Reorder the terms:
5z + 3(-8 + 3z) = 12 + 182
5z + (-8 * 3 + 3z * 3) = 12 + 182
5z + (-24 + 9z) = 12 + 182

Reorder the terms:
-24 + 5z + 9z = 12 + 182

Combine like terms: 5z + 9z = 14z
-24 + 14z = 12 + 182

Combine like terms: 12 + 182 = 194
-24 + 14z = 194

Solving
-24 + 14z = 194

Solving for variable 'z'.

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

Add '24' to each side of the equation.
-24 + 24 + 14z = 194 + 24

Combine like terms: -24 + 24 = 0
0 + 14z = 194 + 24
14z = 194 + 24

Combine like terms: 194 + 24 = 218
14z = 218

Divide each side by '14'.
z = 15.57142857

Simplifying
z = 15.57142857

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