5.2q-3.2-5.1q=0.9q-3.1

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Solution for 5.2q-3.2-5.1q=0.9q-3.1 equation: 


Simplifying
5.2q + -3.2 + -5.1q = 0.9q + -3.1

Reorder the terms:
-3.2 + 5.2q + -5.1q = 0.9q + -3.1

Combine like terms: 5.2q + -5.1q = 0.1q
-3.2 + 0.1q = 0.9q + -3.1

Reorder the terms:
-3.2 + 0.1q = -3.1 + 0.9q

Solving
-3.2 + 0.1q = -3.1 + 0.9q

Solving for variable 'q'.

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

Add '-0.9q' to each side of the equation.
-3.2 + 0.1q + -0.9q = -3.1 + 0.9q + -0.9q

Combine like terms: 0.1q + -0.9q = -0.8q
-3.2 + -0.8q = -3.1 + 0.9q + -0.9q

Combine like terms: 0.9q + -0.9q = 0.0
-3.2 + -0.8q = -3.1 + 0.0
-3.2 + -0.8q = -3.1

Add '3.2' to each side of the equation.
-3.2 + 3.2 + -0.8q = -3.1 + 3.2

Combine like terms: -3.2 + 3.2 = 0.0
0.0 + -0.8q = -3.1 + 3.2
-0.8q = -3.1 + 3.2

Combine like terms: -3.1 + 3.2 = 0.1
-0.8q = 0.1

Divide each side by '-0.8'.
q = -0.125

Simplifying
q = -0.125

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