Z-3.8z-5.7=-5(z-3.7)

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Solution for Z-3.8z-5.7=-5(z-3.7) equation: 


Simplifying
Z + -3.8z + -5.7 = -5(z + -3.7)

Reorder the terms:
-5.7 + Z + -3.8z = -5(z + -3.7)

Reorder the terms:
-5.7 + Z + -3.8z = -5(-3.7 + z)
-5.7 + Z + -3.8z = (-3.7 * -5 + z * -5)
-5.7 + Z + -3.8z = (18.5 + -5z)

Solving
-5.7 + Z + -3.8z = 18.5 + -5z

Solving for variable 'Z'.

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

Add '5.7' to each side of the equation.
-5.7 + Z + 5.7 + -3.8z = 18.5 + 5.7 + -5z

Reorder the terms:
-5.7 + 5.7 + Z + -3.8z = 18.5 + 5.7 + -5z

Combine like terms: -5.7 + 5.7 = 0.0
0.0 + Z + -3.8z = 18.5 + 5.7 + -5z
Z + -3.8z = 18.5 + 5.7 + -5z

Combine like terms: 18.5 + 5.7 = 24.2
Z + -3.8z = 24.2 + -5z

Add '3.8z' to each side of the equation.
Z + -3.8z + 3.8z = 24.2 + -5z + 3.8z

Combine like terms: -3.8z + 3.8z = 0.0
Z + 0.0 = 24.2 + -5z + 3.8z
Z = 24.2 + -5z + 3.8z

Combine like terms: -5z + 3.8z = -1.2z
Z = 24.2 + -1.2z

Simplifying
Z = 24.2 + -1.2z

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