1.6(12z-18)=2z-3

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Solution for 1.6(12z-18)=2z-3 equation: 


Simplifying
1.6(12z + -18) = 2z + -3

Reorder the terms:
1.6(-18 + 12z) = 2z + -3
(-18 * 1.6 + 12z * 1.6) = 2z + -3
(-28.8 + 19.2z) = 2z + -3

Reorder the terms:
-28.8 + 19.2z = -3 + 2z

Solving
-28.8 + 19.2z = -3 + 2z

Solving for variable 'z'.

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

Add '-2z' to each side of the equation.
-28.8 + 19.2z + -2z = -3 + 2z + -2z

Combine like terms: 19.2z + -2z = 17.2z
-28.8 + 17.2z = -3 + 2z + -2z

Combine like terms: 2z + -2z = 0
-28.8 + 17.2z = -3 + 0
-28.8 + 17.2z = -3

Add '28.8' to each side of the equation.
-28.8 + 28.8 + 17.2z = -3 + 28.8

Combine like terms: -28.8 + 28.8 = 0.0
0.0 + 17.2z = -3 + 28.8
17.2z = -3 + 28.8

Combine like terms: -3 + 28.8 = 25.8
17.2z = 25.8

Divide each side by '17.2'.
z = 1.5

Simplifying
z = 1.5

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