0.72z-19.7=0.3(0.2z+1.8)

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Solution for 0.72z-19.7=0.3(0.2z+1.8) equation: 


Simplifying
0.72z + -19.7 = 0.3(0.2z + 1.8)

Reorder the terms:
-19.7 + 0.72z = 0.3(0.2z + 1.8)

Reorder the terms:
-19.7 + 0.72z = 0.3(1.8 + 0.2z)
-19.7 + 0.72z = (1.8 * 0.3 + 0.2z * 0.3)
-19.7 + 0.72z = (0.54 + 0.06z)

Solving
-19.7 + 0.72z = 0.54 + 0.06z

Solving for variable 'z'.

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

Add '-0.06z' to each side of the equation.
-19.7 + 0.72z + -0.06z = 0.54 + 0.06z + -0.06z

Combine like terms: 0.72z + -0.06z = 0.66z
-19.7 + 0.66z = 0.54 + 0.06z + -0.06z

Combine like terms: 0.06z + -0.06z = 0.00
-19.7 + 0.66z = 0.54 + 0.00
-19.7 + 0.66z = 0.54

Add '19.7' to each side of the equation.
-19.7 + 19.7 + 0.66z = 0.54 + 19.7

Combine like terms: -19.7 + 19.7 = 0.0
0.0 + 0.66z = 0.54 + 19.7
0.66z = 0.54 + 19.7

Combine like terms: 0.54 + 19.7 = 20.24
0.66z = 20.24

Divide each side by '0.66'.
z = 30.66666667

Simplifying
z = 30.66666667

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