0.009(z+6)=0.013z+0.006

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Solution for 0.009(z+6)=0.013z+0.006 equation: 


Simplifying
0.009(z + 6) = 0.013z + 0.006

Reorder the terms:
0.009(6 + z) = 0.013z + 0.006
(6 * 0.009 + z * 0.009) = 0.013z + 0.006
(0.054 + 0.009z) = 0.013z + 0.006

Reorder the terms:
0.054 + 0.009z = 0.006 + 0.013z

Solving
0.054 + 0.009z = 0.006 + 0.013z

Solving for variable 'z'.

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

Add '-0.013z' to each side of the equation.
0.054 + 0.009z + -0.013z = 0.006 + 0.013z + -0.013z

Combine like terms: 0.009z + -0.013z = -0.004z
0.054 + -0.004z = 0.006 + 0.013z + -0.013z

Combine like terms: 0.013z + -0.013z = 0.000
0.054 + -0.004z = 0.006 + 0.000
0.054 + -0.004z = 0.006

Add '-0.054' to each side of the equation.
0.054 + -0.054 + -0.004z = 0.006 + -0.054

Combine like terms: 0.054 + -0.054 = 0.000
0.000 + -0.004z = 0.006 + -0.054
-0.004z = 0.006 + -0.054

Combine like terms: 0.006 + -0.054 = -0.048
-0.004z = -0.048

Divide each side by '-0.004'.
z = 12

Simplifying
z = 12

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