4.2q-3.8-5.7q=-2.5q-3.2

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Solution for 4.2q-3.8-5.7q=-2.5q-3.2 equation:


Simplifying
4.2q + -3.8 + -5.7q = -2.5q + -3.2

Reorder the terms:
-3.8 + 4.2q + -5.7q = -2.5q + -3.2

Combine like terms: 4.2q + -5.7q = -1.5q
-3.8 + -1.5q = -2.5q + -3.2

Reorder the terms:
-3.8 + -1.5q = -3.2 + -2.5q

Solving
-3.8 + -1.5q = -3.2 + -2.5q

Solving for variable 'q'.

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

Add '2.5q' to each side of the equation.
-3.8 + -1.5q + 2.5q = -3.2 + -2.5q + 2.5q

Combine like terms: -1.5q + 2.5q = 1q
-3.8 + 1q = -3.2 + -2.5q + 2.5q

Combine like terms: -2.5q + 2.5q = 0.0
-3.8 + 1q = -3.2 + 0.0
-3.8 + 1q = -3.2

Add '3.8' to each side of the equation.
-3.8 + 3.8 + 1q = -3.2 + 3.8

Combine like terms: -3.8 + 3.8 = 0.0
0.0 + 1q = -3.2 + 3.8
1q = -3.2 + 3.8

Combine like terms: -3.2 + 3.8 = 0.6
1q = 0.6

Divide each side by '1'.
q = 0.6

Simplifying
q = 0.6

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