4.5q-5.4-3.7q=0.2q-4.3

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Solution for 4.5q-5.4-3.7q=0.2q-4.3 equation: 


Simplifying
4.5q + -5.4 + -3.7q = 0.2q + -4.3

Reorder the terms:
-5.4 + 4.5q + -3.7q = 0.2q + -4.3

Combine like terms: 4.5q + -3.7q = 0.8q
-5.4 + 0.8q = 0.2q + -4.3

Reorder the terms:
-5.4 + 0.8q = -4.3 + 0.2q

Solving
-5.4 + 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.
-5.4 + 0.8q + -0.2q = -4.3 + 0.2q + -0.2q

Combine like terms: 0.8q + -0.2q = 0.6q
-5.4 + 0.6q = -4.3 + 0.2q + -0.2q

Combine like terms: 0.2q + -0.2q = 0.0
-5.4 + 0.6q = -4.3 + 0.0
-5.4 + 0.6q = -4.3

Add '5.4' to each side of the equation.
-5.4 + 5.4 + 0.6q = -4.3 + 5.4

Combine like terms: -5.4 + 5.4 = 0.0
0.0 + 0.6q = -4.3 + 5.4
0.6q = -4.3 + 5.4

Combine like terms: -4.3 + 5.4 = 1.1
0.6q = 1.1

Divide each side by '0.6'.
q = 1.833333333

Simplifying
q = 1.833333333

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