3.8q-4.9-5.1q=-2.3q-1.4

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Solution for 3.8q-4.9-5.1q=-2.3q-1.4 equation: 


Simplifying
3.8q + -4.9 + -5.1q = -2.3q + -1.4

Reorder the terms:
-4.9 + 3.8q + -5.1q = -2.3q + -1.4

Combine like terms: 3.8q + -5.1q = -1.3q
-4.9 + -1.3q = -2.3q + -1.4

Reorder the terms:
-4.9 + -1.3q = -1.4 + -2.3q

Solving
-4.9 + -1.3q = -1.4 + -2.3q

Solving for variable 'q'.

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

Add '2.3q' to each side of the equation.
-4.9 + -1.3q + 2.3q = -1.4 + -2.3q + 2.3q

Combine like terms: -1.3q + 2.3q = 1q
-4.9 + 1q = -1.4 + -2.3q + 2.3q

Combine like terms: -2.3q + 2.3q = 0.0
-4.9 + 1q = -1.4 + 0.0
-4.9 + 1q = -1.4

Add '4.9' to each side of the equation.
-4.9 + 4.9 + 1q = -1.4 + 4.9

Combine like terms: -4.9 + 4.9 = 0.0
0.0 + 1q = -1.4 + 4.9
1q = -1.4 + 4.9

Combine like terms: -1.4 + 4.9 = 3.5
1q = 3.5

Divide each side by '1'.
q = 3.5

Simplifying
q = 3.5

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