4.5q-5.5-4.2q=-.7q-4.5

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Solution for 4.5q-5.5-4.2q=-.7q-4.5 equation: 


Simplifying
4.5q + -5.5 + -4.2q = -0.7q + -4.5

Reorder the terms:
-5.5 + 4.5q + -4.2q = -0.7q + -4.5

Combine like terms: 4.5q + -4.2q = 0.3q
-5.5 + 0.3q = -0.7q + -4.5

Reorder the terms:
-5.5 + 0.3q = -4.5 + -0.7q

Solving
-5.5 + 0.3q = -4.5 + -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.
-5.5 + 0.3q + 0.7q = -4.5 + -0.7q + 0.7q

Combine like terms: 0.3q + 0.7q = 1q
-5.5 + 1q = -4.5 + -0.7q + 0.7q

Combine like terms: -0.7q + 0.7q = 0.0
-5.5 + 1q = -4.5 + 0.0
-5.5 + 1q = -4.5

Add '5.5' to each side of the equation.
-5.5 + 5.5 + 1q = -4.5 + 5.5

Combine like terms: -5.5 + 5.5 = 0.0
0.0 + 1q = -4.5 + 5.5
1q = -4.5 + 5.5

Combine like terms: -4.5 + 5.5 = 1
1q = 1

Divide each side by '1'.
q = 1

Simplifying
q = 1

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