0.1(12z-18)=2z-3

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Solution for 0.1(12z-18)=2z-3 equation:


Simplifying
0.1(12z + -18) = 2z + -3

Reorder the terms:
0.1(-18 + 12z) = 2z + -3
(-18 * 0.1 + 12z * 0.1) = 2z + -3
(-1.8 + 1.2z) = 2z + -3

Reorder the terms:
-1.8 + 1.2z = -3 + 2z

Solving
-1.8 + 1.2z = -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.
-1.8 + 1.2z + -2z = -3 + 2z + -2z

Combine like terms: 1.2z + -2z = -0.8z
-1.8 + -0.8z = -3 + 2z + -2z

Combine like terms: 2z + -2z = 0
-1.8 + -0.8z = -3 + 0
-1.8 + -0.8z = -3

Add '1.8' to each side of the equation.
-1.8 + 1.8 + -0.8z = -3 + 1.8

Combine like terms: -1.8 + 1.8 = 0.0
0.0 + -0.8z = -3 + 1.8
-0.8z = -3 + 1.8

Combine like terms: -3 + 1.8 = -1.2
-0.8z = -1.2

Divide each side by '-0.8'.
z = 1.5

Simplifying
z = 1.5

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