z+1.1z+5.5=5(z-1.8)

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Solution for z+1.1z+5.5=5(z-1.8) equation: 


Simplifying
z + 1.1z + 5.5 = 5(z + -1.8)

Reorder the terms:
5.5 + z + 1.1z = 5(z + -1.8)

Combine like terms: z + 1.1z = 2.1z
5.5 + 2.1z = 5(z + -1.8)

Reorder the terms:
5.5 + 2.1z = 5(-1.8 + z)
5.5 + 2.1z = (-1.8 * 5 + z * 5)
5.5 + 2.1z = (-9 + 5z)

Solving
5.5 + 2.1z = -9 + 5z

Solving for variable 'z'.

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

Add '-5z' to each side of the equation.
5.5 + 2.1z + -5z = -9 + 5z + -5z

Combine like terms: 2.1z + -5z = -2.9z
5.5 + -2.9z = -9 + 5z + -5z

Combine like terms: 5z + -5z = 0
5.5 + -2.9z = -9 + 0
5.5 + -2.9z = -9

Add '-5.5' to each side of the equation.
5.5 + -5.5 + -2.9z = -9 + -5.5

Combine like terms: 5.5 + -5.5 = 0.0
0.0 + -2.9z = -9 + -5.5
-2.9z = -9 + -5.5

Combine like terms: -9 + -5.5 = -14.5
-2.9z = -14.5

Divide each side by '-2.9'.
z = 5

Simplifying
z = 5

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