Z-6z+3.9=-5.5(z-4.8)

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Solution for Z-6z+3.9=-5.5(z-4.8) equation: 


Simplifying
Z + -6z + 3.9 = -5.5(z + -4.8)

Reorder the terms:
3.9 + Z + -6z = -5.5(z + -4.8)

Reorder the terms:
3.9 + Z + -6z = -5.5(-4.8 + z)
3.9 + Z + -6z = (-4.8 * -5.5 + z * -5.5)
3.9 + Z + -6z = (26.4 + -5.5z)

Solving
3.9 + Z + -6z = 26.4 + -5.5z

Solving for variable 'Z'.

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

Add '-3.9' to each side of the equation.
3.9 + Z + -3.9 + -6z = 26.4 + -3.9 + -5.5z

Reorder the terms:
3.9 + -3.9 + Z + -6z = 26.4 + -3.9 + -5.5z

Combine like terms: 3.9 + -3.9 = 0.0
0.0 + Z + -6z = 26.4 + -3.9 + -5.5z
Z + -6z = 26.4 + -3.9 + -5.5z

Combine like terms: 26.4 + -3.9 = 22.5
Z + -6z = 22.5 + -5.5z

Add '6z' to each side of the equation.
Z + -6z + 6z = 22.5 + -5.5z + 6z

Combine like terms: -6z + 6z = 0
Z + 0 = 22.5 + -5.5z + 6z
Z = 22.5 + -5.5z + 6z

Combine like terms: -5.5z + 6z = 0.5z
Z = 22.5 + 0.5z

Simplifying
Z = 22.5 + 0.5z

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