5z+3(3z-8)=12+18z

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Solution for 5z+3(3z-8)=12+18z equation: 


Simplifying
5z + 3(3z + -8) = 12 + 18z

Reorder the terms:
5z + 3(-8 + 3z) = 12 + 18z
5z + (-8 * 3 + 3z * 3) = 12 + 18z
5z + (-24 + 9z) = 12 + 18z

Reorder the terms:
-24 + 5z + 9z = 12 + 18z

Combine like terms: 5z + 9z = 14z
-24 + 14z = 12 + 18z

Solving
-24 + 14z = 12 + 18z

Solving for variable 'z'.

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

Add '-18z' to each side of the equation.
-24 + 14z + -18z = 12 + 18z + -18z

Combine like terms: 14z + -18z = -4z
-24 + -4z = 12 + 18z + -18z

Combine like terms: 18z + -18z = 0
-24 + -4z = 12 + 0
-24 + -4z = 12

Add '24' to each side of the equation.
-24 + 24 + -4z = 12 + 24

Combine like terms: -24 + 24 = 0
0 + -4z = 12 + 24
-4z = 12 + 24

Combine like terms: 12 + 24 = 36
-4z = 36

Divide each side by '-4'.
z = -9

Simplifying
z = -9

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