3(7.5z-4)=18.5-5.5z

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Solution for 3(7.5z-4)=18.5-5.5z equation: 


Simplifying
3(7.5z + -4) = 18.5 + -5.5z

Reorder the terms:
3(-4 + 7.5z) = 18.5 + -5.5z
(-4 * 3 + 7.5z * 3) = 18.5 + -5.5z
(-12 + 22.5z) = 18.5 + -5.5z

Solving
-12 + 22.5z = 18.5 + -5.5z

Solving for variable 'z'.

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

Add '5.5z' to each side of the equation.
-12 + 22.5z + 5.5z = 18.5 + -5.5z + 5.5z

Combine like terms: 22.5z + 5.5z = 28z
-12 + 28z = 18.5 + -5.5z + 5.5z

Combine like terms: -5.5z + 5.5z = 0.0
-12 + 28z = 18.5 + 0.0
-12 + 28z = 18.5

Add '12' to each side of the equation.
-12 + 12 + 28z = 18.5 + 12

Combine like terms: -12 + 12 = 0
0 + 28z = 18.5 + 12
28z = 18.5 + 12

Combine like terms: 18.5 + 12 = 30.5
28z = 30.5

Divide each side by '28'.
z = 1.089285714

Simplifying
z = 1.089285714

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