4.5q-3.2-4.1q=0.6q-5.2

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Solution for 4.5q-3.2-4.1q=0.6q-5.2 equation: 


Simplifying
4.5q + -3.2 + -4.1q = 0.6q + -5.2

Reorder the terms:
-3.2 + 4.5q + -4.1q = 0.6q + -5.2

Combine like terms: 4.5q + -4.1q = 0.4q
-3.2 + 0.4q = 0.6q + -5.2

Reorder the terms:
-3.2 + 0.4q = -5.2 + 0.6q

Solving
-3.2 + 0.4q = -5.2 + 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.
-3.2 + 0.4q + -0.6q = -5.2 + 0.6q + -0.6q

Combine like terms: 0.4q + -0.6q = -0.2q
-3.2 + -0.2q = -5.2 + 0.6q + -0.6q

Combine like terms: 0.6q + -0.6q = 0.0
-3.2 + -0.2q = -5.2 + 0.0
-3.2 + -0.2q = -5.2

Add '3.2' to each side of the equation.
-3.2 + 3.2 + -0.2q = -5.2 + 3.2

Combine like terms: -3.2 + 3.2 = 0.0
0.0 + -0.2q = -5.2 + 3.2
-0.2q = -5.2 + 3.2

Combine like terms: -5.2 + 3.2 = -2
-0.2q = -2

Divide each side by '-0.2'.
q = 10

Simplifying
q = 10

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