Z+0.8z-6.9=3.8(z+4.5)

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Solution for Z+0.8z-6.9=3.8(z+4.5) equation: 


Simplifying
Z + 0.8z + -6.9 = 3.8(z + 4.5)

Reorder the terms:
-6.9 + Z + 0.8z = 3.8(z + 4.5)

Reorder the terms:
-6.9 + Z + 0.8z = 3.8(4.5 + z)
-6.9 + Z + 0.8z = (4.5 * 3.8 + z * 3.8)
-6.9 + Z + 0.8z = (17.1 + 3.8z)

Solving
-6.9 + Z + 0.8z = 17.1 + 3.8z

Solving for variable 'Z'.

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

Add '6.9' to each side of the equation.
-6.9 + Z + 6.9 + 0.8z = 17.1 + 6.9 + 3.8z

Reorder the terms:
-6.9 + 6.9 + Z + 0.8z = 17.1 + 6.9 + 3.8z

Combine like terms: -6.9 + 6.9 = 0.0
0.0 + Z + 0.8z = 17.1 + 6.9 + 3.8z
Z + 0.8z = 17.1 + 6.9 + 3.8z

Combine like terms: 17.1 + 6.9 = 24
Z + 0.8z = 24 + 3.8z

Add '-0.8z' to each side of the equation.
Z + 0.8z + -0.8z = 24 + 3.8z + -0.8z

Combine like terms: 0.8z + -0.8z = 0.0
Z + 0.0 = 24 + 3.8z + -0.8z
Z = 24 + 3.8z + -0.8z

Combine like terms: 3.8z + -0.8z = 3z
Z = 24 + 3z

Simplifying
Z = 24 + 3z

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