3.8q-1.3-3.7q=0.9q-5.7

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Solution for 3.8q-1.3-3.7q=0.9q-5.7 equation: 


Simplifying
3.8q + -1.3 + -3.7q = 0.9q + -5.7

Reorder the terms:
-1.3 + 3.8q + -3.7q = 0.9q + -5.7

Combine like terms: 3.8q + -3.7q = 0.1q
-1.3 + 0.1q = 0.9q + -5.7

Reorder the terms:
-1.3 + 0.1q = -5.7 + 0.9q

Solving
-1.3 + 0.1q = -5.7 + 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.
-1.3 + 0.1q + -0.9q = -5.7 + 0.9q + -0.9q

Combine like terms: 0.1q + -0.9q = -0.8q
-1.3 + -0.8q = -5.7 + 0.9q + -0.9q

Combine like terms: 0.9q + -0.9q = 0.0
-1.3 + -0.8q = -5.7 + 0.0
-1.3 + -0.8q = -5.7

Add '1.3' to each side of the equation.
-1.3 + 1.3 + -0.8q = -5.7 + 1.3

Combine like terms: -1.3 + 1.3 = 0.0
0.0 + -0.8q = -5.7 + 1.3
-0.8q = -5.7 + 1.3

Combine like terms: -5.7 + 1.3 = -4.4
-0.8q = -4.4

Divide each side by '-0.8'.
q = 5.5

Simplifying
q = 5.5

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