1.3q-3.2-0.5q=0.2q-5.4

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Solution for 1.3q-3.2-0.5q=0.2q-5.4 equation: 


Simplifying
1.3q + -3.2 + -0.5q = 0.2q + -5.4

Reorder the terms:
-3.2 + 1.3q + -0.5q = 0.2q + -5.4

Combine like terms: 1.3q + -0.5q = 0.8q
-3.2 + 0.8q = 0.2q + -5.4

Reorder the terms:
-3.2 + 0.8q = -5.4 + 0.2q

Solving
-3.2 + 0.8q = -5.4 + 0.2q

Solving for variable 'q'.

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

Add '-0.2q' to each side of the equation.
-3.2 + 0.8q + -0.2q = -5.4 + 0.2q + -0.2q

Combine like terms: 0.8q + -0.2q = 0.6q
-3.2 + 0.6q = -5.4 + 0.2q + -0.2q

Combine like terms: 0.2q + -0.2q = 0.0
-3.2 + 0.6q = -5.4 + 0.0
-3.2 + 0.6q = -5.4

Add '3.2' to each side of the equation.
-3.2 + 3.2 + 0.6q = -5.4 + 3.2

Combine like terms: -3.2 + 3.2 = 0.0
0.0 + 0.6q = -5.4 + 3.2
0.6q = -5.4 + 3.2

Combine like terms: -5.4 + 3.2 = -2.2
0.6q = -2.2

Divide each side by '0.6'.
q = -3.666666667

Simplifying
q = -3.666666667

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