0.4(25z-30)=1.3(12z+16)

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Solution for 0.4(25z-30)=1.3(12z+16) equation: 


Simplifying
0.4(25z + -30) = 1.3(12z + 16)

Reorder the terms:
0.4(-30 + 25z) = 1.3(12z + 16)
(-30 * 0.4 + 25z * 0.4) = 1.3(12z + 16)
(-12 + 10z) = 1.3(12z + 16)

Reorder the terms:
-12 + 10z = 1.3(16 + 12z)
-12 + 10z = (16 * 1.3 + 12z * 1.3)
-12 + 10z = (20.8 + 15.6z)

Solving
-12 + 10z = 20.8 + 15.6z

Solving for variable 'z'.

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

Add '-15.6z' to each side of the equation.
-12 + 10z + -15.6z = 20.8 + 15.6z + -15.6z

Combine like terms: 10z + -15.6z = -5.6z
-12 + -5.6z = 20.8 + 15.6z + -15.6z

Combine like terms: 15.6z + -15.6z = 0.0
-12 + -5.6z = 20.8 + 0.0
-12 + -5.6z = 20.8

Add '12' to each side of the equation.
-12 + 12 + -5.6z = 20.8 + 12

Combine like terms: -12 + 12 = 0
0 + -5.6z = 20.8 + 12
-5.6z = 20.8 + 12

Combine like terms: 20.8 + 12 = 32.8
-5.6z = 32.8

Divide each side by '-5.6'.
z = -5.857142857

Simplifying
z = -5.857142857

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