0.7z+4.5=0.2z+7

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Solution for 0.7z+4.5=0.2z+7 equation: 


Simplifying
0.7z + 4.5 = 0.2z + 7

Reorder the terms:
4.5 + 0.7z = 0.2z + 7

Reorder the terms:
4.5 + 0.7z = 7 + 0.2z

Solving
4.5 + 0.7z = 7 + 0.2z

Solving for variable 'z'.

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

Add '-0.2z' to each side of the equation.
4.5 + 0.7z + -0.2z = 7 + 0.2z + -0.2z

Combine like terms: 0.7z + -0.2z = 0.5z
4.5 + 0.5z = 7 + 0.2z + -0.2z

Combine like terms: 0.2z + -0.2z = 0.0
4.5 + 0.5z = 7 + 0.0
4.5 + 0.5z = 7

Add '-4.5' to each side of the equation.
4.5 + -4.5 + 0.5z = 7 + -4.5

Combine like terms: 4.5 + -4.5 = 0.0
0.0 + 0.5z = 7 + -4.5
0.5z = 7 + -4.5

Combine like terms: 7 + -4.5 = 2.5
0.5z = 2.5

Divide each side by '0.5'.
z = 5

Simplifying
z = 5

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