5.1q-3.8-4.7q=0.6q-5.3

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Solution for 5.1q-3.8-4.7q=0.6q-5.3 equation: 


Simplifying
5.1q + -3.8 + -4.7q = 0.6q + -5.3

Reorder the terms:
-3.8 + 5.1q + -4.7q = 0.6q + -5.3

Combine like terms: 5.1q + -4.7q = 0.4q
-3.8 + 0.4q = 0.6q + -5.3

Reorder the terms:
-3.8 + 0.4q = -5.3 + 0.6q

Solving
-3.8 + 0.4q = -5.3 + 0.6q

Solving for variable 'q'.

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

Add '-0.6q' to each side of the equation.
-3.8 + 0.4q + -0.6q = -5.3 + 0.6q + -0.6q

Combine like terms: 0.4q + -0.6q = -0.2q
-3.8 + -0.2q = -5.3 + 0.6q + -0.6q

Combine like terms: 0.6q + -0.6q = 0.0
-3.8 + -0.2q = -5.3 + 0.0
-3.8 + -0.2q = -5.3

Add '3.8' to each side of the equation.
-3.8 + 3.8 + -0.2q = -5.3 + 3.8

Combine like terms: -3.8 + 3.8 = 0.0
0.0 + -0.2q = -5.3 + 3.8
-0.2q = -5.3 + 3.8

Combine like terms: -5.3 + 3.8 = -1.5
-0.2q = -1.5

Divide each side by '-0.2'.
q = 7.5

Simplifying
q = 7.5

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