Z+2.6z-5.9=6.1(z+6)

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Solution for Z+2.6z-5.9=6.1(z+6) equation: 


Simplifying
Z + 2.6z + -5.9 = 6.1(z + 6)

Reorder the terms:
-5.9 + Z + 2.6z = 6.1(z + 6)

Reorder the terms:
-5.9 + Z + 2.6z = 6.1(6 + z)
-5.9 + Z + 2.6z = (6 * 6.1 + z * 6.1)
-5.9 + Z + 2.6z = (36.6 + 6.1z)

Solving
-5.9 + Z + 2.6z = 36.6 + 6.1z

Solving for variable 'Z'.

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

Add '5.9' to each side of the equation.
-5.9 + Z + 5.9 + 2.6z = 36.6 + 5.9 + 6.1z

Reorder the terms:
-5.9 + 5.9 + Z + 2.6z = 36.6 + 5.9 + 6.1z

Combine like terms: -5.9 + 5.9 = 0.0
0.0 + Z + 2.6z = 36.6 + 5.9 + 6.1z
Z + 2.6z = 36.6 + 5.9 + 6.1z

Combine like terms: 36.6 + 5.9 = 42.5
Z + 2.6z = 42.5 + 6.1z

Add '-2.6z' to each side of the equation.
Z + 2.6z + -2.6z = 42.5 + 6.1z + -2.6z

Combine like terms: 2.6z + -2.6z = 0.0
Z + 0.0 = 42.5 + 6.1z + -2.6z
Z = 42.5 + 6.1z + -2.6z

Combine like terms: 6.1z + -2.6z = 3.5z
Z = 42.5 + 3.5z

Simplifying
Z = 42.5 + 3.5z

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