4.1q-4.5-5.1q=-2.0q-3.1

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Solution for 4.1q-4.5-5.1q=-2.0q-3.1 equation: 


Simplifying
4.1q + -4.5 + -5.1q = -2.0q + -3.1

Reorder the terms:
-4.5 + 4.1q + -5.1q = -2.0q + -3.1

Combine like terms: 4.1q + -5.1q = -1q
-4.5 + -1q = -2.0q + -3.1

Reorder the terms:
-4.5 + -1q = -3.1 + -2.0q

Solving
-4.5 + -1q = -3.1 + -2.0q

Solving for variable 'q'.

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

Add '2.0q' to each side of the equation.
-4.5 + -1q + 2.0q = -3.1 + -2.0q + 2.0q

Combine like terms: -1q + 2.0q = 1q
-4.5 + 1q = -3.1 + -2.0q + 2.0q

Combine like terms: -2.0q + 2.0q = 0.0
-4.5 + 1q = -3.1 + 0.0
-4.5 + 1q = -3.1

Add '4.5' to each side of the equation.
-4.5 + 4.5 + 1q = -3.1 + 4.5

Combine like terms: -4.5 + 4.5 = 0.0
0.0 + 1q = -3.1 + 4.5
1q = -3.1 + 4.5

Combine like terms: -3.1 + 4.5 = 1.4
1q = 1.4

Divide each side by '1'.
q = 1.4

Simplifying
q = 1.4

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