3.8z+5.5=3.3z+6

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Solution for 3.8z+5.5=3.3z+6 equation: 


Simplifying
3.8z + 5.5 = 3.3z + 6

Reorder the terms:
5.5 + 3.8z = 3.3z + 6

Reorder the terms:
5.5 + 3.8z = 6 + 3.3z

Solving
5.5 + 3.8z = 6 + 3.3z

Solving for variable 'z'.

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

Add '-3.3z' to each side of the equation.
5.5 + 3.8z + -3.3z = 6 + 3.3z + -3.3z

Combine like terms: 3.8z + -3.3z = 0.5z
5.5 + 0.5z = 6 + 3.3z + -3.3z

Combine like terms: 3.3z + -3.3z = 0.0
5.5 + 0.5z = 6 + 0.0
5.5 + 0.5z = 6

Add '-5.5' to each side of the equation.
5.5 + -5.5 + 0.5z = 6 + -5.5

Combine like terms: 5.5 + -5.5 = 0.0
0.0 + 0.5z = 6 + -5.5
0.5z = 6 + -5.5

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

Divide each side by '0.5'.
z = 1

Simplifying
z = 1

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