5.4q-5.7-4.6q=0.2q-4.3

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Solution for 5.4q-5.7-4.6q=0.2q-4.3 equation: 


Simplifying
5.4q + -5.7 + -4.6q = 0.2q + -4.3

Reorder the terms:
-5.7 + 5.4q + -4.6q = 0.2q + -4.3

Combine like terms: 5.4q + -4.6q = 0.8q
-5.7 + 0.8q = 0.2q + -4.3

Reorder the terms:
-5.7 + 0.8q = -4.3 + 0.2q

Solving
-5.7 + 0.8q = -4.3 + 0.2q

Solving for variable 'q'.

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

Add '-0.2q' to each side of the equation.
-5.7 + 0.8q + -0.2q = -4.3 + 0.2q + -0.2q

Combine like terms: 0.8q + -0.2q = 0.6q
-5.7 + 0.6q = -4.3 + 0.2q + -0.2q

Combine like terms: 0.2q + -0.2q = 0.0
-5.7 + 0.6q = -4.3 + 0.0
-5.7 + 0.6q = -4.3

Add '5.7' to each side of the equation.
-5.7 + 5.7 + 0.6q = -4.3 + 5.7

Combine like terms: -5.7 + 5.7 = 0.0
0.0 + 0.6q = -4.3 + 5.7
0.6q = -4.3 + 5.7

Combine like terms: -4.3 + 5.7 = 1.4
0.6q = 1.4

Divide each side by '0.6'.
q = 2.333333333

Simplifying
q = 2.333333333

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