5.7q-4.5-5.1q=-0.4q-3.9

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Solution for 5.7q-4.5-5.1q=-0.4q-3.9 equation: 


Simplifying
5.7q + -4.5 + -5.1q = -0.4q + -3.9

Reorder the terms:
-4.5 + 5.7q + -5.1q = -0.4q + -3.9

Combine like terms: 5.7q + -5.1q = 0.6q
-4.5 + 0.6q = -0.4q + -3.9

Reorder the terms:
-4.5 + 0.6q = -3.9 + -0.4q

Solving
-4.5 + 0.6q = -3.9 + -0.4q

Solving for variable 'q'.

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

Add '0.4q' to each side of the equation.
-4.5 + 0.6q + 0.4q = -3.9 + -0.4q + 0.4q

Combine like terms: 0.6q + 0.4q = 1q
-4.5 + 1q = -3.9 + -0.4q + 0.4q

Combine like terms: -0.4q + 0.4q = 0.0
-4.5 + 1q = -3.9 + 0.0
-4.5 + 1q = -3.9

Add '4.5' to each side of the equation.
-4.5 + 4.5 + 1q = -3.9 + 4.5

Combine like terms: -4.5 + 4.5 = 0.0
0.0 + 1q = -3.9 + 4.5
1q = -3.9 + 4.5

Combine like terms: -3.9 + 4.5 = 0.6
1q = 0.6

Divide each side by '1'.
q = 0.6

Simplifying
q = 0.6

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