1.5q-3.8-5.1q=-4.6q-5.8

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Solution for 1.5q-3.8-5.1q=-4.6q-5.8 equation: 


Simplifying
1.5q + -3.8 + -5.1q = -4.6q + -5.8

Reorder the terms:
-3.8 + 1.5q + -5.1q = -4.6q + -5.8

Combine like terms: 1.5q + -5.1q = -3.6q
-3.8 + -3.6q = -4.6q + -5.8

Reorder the terms:
-3.8 + -3.6q = -5.8 + -4.6q

Solving
-3.8 + -3.6q = -5.8 + -4.6q

Solving for variable 'q'.

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

Add '4.6q' to each side of the equation.
-3.8 + -3.6q + 4.6q = -5.8 + -4.6q + 4.6q

Combine like terms: -3.6q + 4.6q = 1q
-3.8 + 1q = -5.8 + -4.6q + 4.6q

Combine like terms: -4.6q + 4.6q = 0.0
-3.8 + 1q = -5.8 + 0.0
-3.8 + 1q = -5.8

Add '3.8' to each side of the equation.
-3.8 + 3.8 + 1q = -5.8 + 3.8

Combine like terms: -3.8 + 3.8 = 0.0
0.0 + 1q = -5.8 + 3.8
1q = -5.8 + 3.8

Combine like terms: -5.8 + 3.8 = -2
1q = -2

Divide each side by '1'.
q = -2

Simplifying
q = -2

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