7.4a+44.4=3.2a+83.4

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Solution for 7.4a+44.4=3.2a+83.4 equation: 


Simplifying
7.4a + 44.4 = 3.2a + 83.4

Reorder the terms:
44.4 + 7.4a = 3.2a + 83.4

Reorder the terms:
44.4 + 7.4a = 83.4 + 3.2a

Solving
44.4 + 7.4a = 83.4 + 3.2a

Solving for variable 'a'.

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

Add '-3.2a' to each side of the equation.
44.4 + 7.4a + -3.2a = 83.4 + 3.2a + -3.2a

Combine like terms: 7.4a + -3.2a = 4.2a
44.4 + 4.2a = 83.4 + 3.2a + -3.2a

Combine like terms: 3.2a + -3.2a = 0.0
44.4 + 4.2a = 83.4 + 0.0
44.4 + 4.2a = 83.4

Add '-44.4' to each side of the equation.
44.4 + -44.4 + 4.2a = 83.4 + -44.4

Combine like terms: 44.4 + -44.4 = 0.0
0.0 + 4.2a = 83.4 + -44.4
4.2a = 83.4 + -44.4

Combine like terms: 83.4 + -44.4 = 39
4.2a = 39

Divide each side by '4.2'.
a = 9.285714286

Simplifying
a = 9.285714286

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