0.8z+5.2=0.4z+8

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Solution for 0.8z+5.2=0.4z+8 equation: 


Simplifying
0.8z + 5.2 = 0.4z + 8

Reorder the terms:
5.2 + 0.8z = 0.4z + 8

Reorder the terms:
5.2 + 0.8z = 8 + 0.4z

Solving
5.2 + 0.8z = 8 + 0.4z

Solving for variable 'z'.

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

Add '-0.4z' to each side of the equation.
5.2 + 0.8z + -0.4z = 8 + 0.4z + -0.4z

Combine like terms: 0.8z + -0.4z = 0.4z
5.2 + 0.4z = 8 + 0.4z + -0.4z

Combine like terms: 0.4z + -0.4z = 0.0
5.2 + 0.4z = 8 + 0.0
5.2 + 0.4z = 8

Add '-5.2' to each side of the equation.
5.2 + -5.2 + 0.4z = 8 + -5.2

Combine like terms: 5.2 + -5.2 = 0.0
0.0 + 0.4z = 8 + -5.2
0.4z = 8 + -5.2

Combine like terms: 8 + -5.2 = 2.8
0.4z = 2.8

Divide each side by '0.4'.
z = 7

Simplifying
z = 7

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