10z-0.5=-20z+1.6

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Solution for 10z-0.5=-20z+1.6 equation:


Simplifying
10z + -0.5 = -20z + 1.6

Reorder the terms:
-0.5 + 10z = -20z + 1.6

Reorder the terms:
-0.5 + 10z = 1.6 + -20z

Solving
-0.5 + 10z = 1.6 + -20z

Solving for variable 'z'.

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

Add '20z' to each side of the equation.
-0.5 + 10z + 20z = 1.6 + -20z + 20z

Combine like terms: 10z + 20z = 30z
-0.5 + 30z = 1.6 + -20z + 20z

Combine like terms: -20z + 20z = 0
-0.5 + 30z = 1.6 + 0
-0.5 + 30z = 1.6

Add '0.5' to each side of the equation.
-0.5 + 0.5 + 30z = 1.6 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + 30z = 1.6 + 0.5
30z = 1.6 + 0.5

Combine like terms: 1.6 + 0.5 = 2.1
30z = 2.1

Divide each side by '30'.
z = 0.07

Simplifying
z = 0.07

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