4.5q-2.8-4.1q=0.6q-3.1

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Solution for 4.5q-2.8-4.1q=0.6q-3.1 equation: 


Simplifying
4.5q + -2.8 + -4.1q = 0.6q + -3.1

Reorder the terms:
-2.8 + 4.5q + -4.1q = 0.6q + -3.1

Combine like terms: 4.5q + -4.1q = 0.4q
-2.8 + 0.4q = 0.6q + -3.1

Reorder the terms:
-2.8 + 0.4q = -3.1 + 0.6q

Solving
-2.8 + 0.4q = -3.1 + 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.
-2.8 + 0.4q + -0.6q = -3.1 + 0.6q + -0.6q

Combine like terms: 0.4q + -0.6q = -0.2q
-2.8 + -0.2q = -3.1 + 0.6q + -0.6q

Combine like terms: 0.6q + -0.6q = 0.0
-2.8 + -0.2q = -3.1 + 0.0
-2.8 + -0.2q = -3.1

Add '2.8' to each side of the equation.
-2.8 + 2.8 + -0.2q = -3.1 + 2.8

Combine like terms: -2.8 + 2.8 = 0.0
0.0 + -0.2q = -3.1 + 2.8
-0.2q = -3.1 + 2.8

Combine like terms: -3.1 + 2.8 = -0.3
-0.2q = -0.3

Divide each side by '-0.2'.
q = 1.5

Simplifying
q = 1.5

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