5.4a+8.2=9.8a-28

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Solution for 5.4a+8.2=9.8a-28 equation: 


Simplifying
5.4a + 8.2 = 9.8a + -28

Reorder the terms:
8.2 + 5.4a = 9.8a + -28

Reorder the terms:
8.2 + 5.4a = -28 + 9.8a

Solving
8.2 + 5.4a = -28 + 9.8a

Solving for variable 'a'.

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

Add '-9.8a' to each side of the equation.
8.2 + 5.4a + -9.8a = -28 + 9.8a + -9.8a

Combine like terms: 5.4a + -9.8a = -4.4a
8.2 + -4.4a = -28 + 9.8a + -9.8a

Combine like terms: 9.8a + -9.8a = 0.0
8.2 + -4.4a = -28 + 0.0
8.2 + -4.4a = -28

Add '-8.2' to each side of the equation.
8.2 + -8.2 + -4.4a = -28 + -8.2

Combine like terms: 8.2 + -8.2 = 0.0
0.0 + -4.4a = -28 + -8.2
-4.4a = -28 + -8.2

Combine like terms: -28 + -8.2 = -36.2
-4.4a = -36.2

Divide each side by '-4.4'.
a = 8.227272727

Simplifying
a = 8.227272727

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