5.4q+8.2=9.8q-2.8

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Solution for 5.4q+8.2=9.8q-2.8 equation: 


Simplifying
5.4q + 8.2 = 9.8q + -2.8

Reorder the terms:
8.2 + 5.4q = 9.8q + -2.8

Reorder the terms:
8.2 + 5.4q = -2.8 + 9.8q

Solving
8.2 + 5.4q = -2.8 + 9.8q

Solving for variable 'q'.

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

Add '-9.8q' to each side of the equation.
8.2 + 5.4q + -9.8q = -2.8 + 9.8q + -9.8q

Combine like terms: 5.4q + -9.8q = -4.4q
8.2 + -4.4q = -2.8 + 9.8q + -9.8q

Combine like terms: 9.8q + -9.8q = 0.0
8.2 + -4.4q = -2.8 + 0.0
8.2 + -4.4q = -2.8

Add '-8.2' to each side of the equation.
8.2 + -8.2 + -4.4q = -2.8 + -8.2

Combine like terms: 8.2 + -8.2 = 0.0
0.0 + -4.4q = -2.8 + -8.2
-4.4q = -2.8 + -8.2

Combine like terms: -2.8 + -8.2 = -11
-4.4q = -11

Divide each side by '-4.4'.
q = 2.5

Simplifying
q = 2.5

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