5.4q-4.2-5.2q=0.8q-3.2

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Solution for 5.4q-4.2-5.2q=0.8q-3.2 equation: 


Simplifying
5.4q + -4.2 + -5.2q = 0.8q + -3.2

Reorder the terms:
-4.2 + 5.4q + -5.2q = 0.8q + -3.2

Combine like terms: 5.4q + -5.2q = 0.2q
-4.2 + 0.2q = 0.8q + -3.2

Reorder the terms:
-4.2 + 0.2q = -3.2 + 0.8q

Solving
-4.2 + 0.2q = -3.2 + 0.8q

Solving for variable 'q'.

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

Add '-0.8q' to each side of the equation.
-4.2 + 0.2q + -0.8q = -3.2 + 0.8q + -0.8q

Combine like terms: 0.2q + -0.8q = -0.6q
-4.2 + -0.6q = -3.2 + 0.8q + -0.8q

Combine like terms: 0.8q + -0.8q = 0.0
-4.2 + -0.6q = -3.2 + 0.0
-4.2 + -0.6q = -3.2

Add '4.2' to each side of the equation.
-4.2 + 4.2 + -0.6q = -3.2 + 4.2

Combine like terms: -4.2 + 4.2 = 0.0
0.0 + -0.6q = -3.2 + 4.2
-0.6q = -3.2 + 4.2

Combine like terms: -3.2 + 4.2 = 1
-0.6q = 1

Divide each side by '-0.6'.
q = -1.666666667

Simplifying
q = -1.666666667

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