4.5q-5.7-4.2q=0.7q-3.2

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Solution for 4.5q-5.7-4.2q=0.7q-3.2 equation: 


Simplifying
4.5q + -5.7 + -4.2q = 0.7q + -3.2

Reorder the terms:
-5.7 + 4.5q + -4.2q = 0.7q + -3.2

Combine like terms: 4.5q + -4.2q = 0.3q
-5.7 + 0.3q = 0.7q + -3.2

Reorder the terms:
-5.7 + 0.3q = -3.2 + 0.7q

Solving
-5.7 + 0.3q = -3.2 + 0.7q

Solving for variable 'q'.

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

Add '-0.7q' to each side of the equation.
-5.7 + 0.3q + -0.7q = -3.2 + 0.7q + -0.7q

Combine like terms: 0.3q + -0.7q = -0.4q
-5.7 + -0.4q = -3.2 + 0.7q + -0.7q

Combine like terms: 0.7q + -0.7q = 0.0
-5.7 + -0.4q = -3.2 + 0.0
-5.7 + -0.4q = -3.2

Add '5.7' to each side of the equation.
-5.7 + 5.7 + -0.4q = -3.2 + 5.7

Combine like terms: -5.7 + 5.7 = 0.0
0.0 + -0.4q = -3.2 + 5.7
-0.4q = -3.2 + 5.7

Combine like terms: -3.2 + 5.7 = 2.5
-0.4q = 2.5

Divide each side by '-0.4'.
q = -6.25

Simplifying
q = -6.25

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