4.6q-5.4-5.7q=-2.1q-2.1

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Solution for 4.6q-5.4-5.7q=-2.1q-2.1 equation: 


Simplifying
4.6q + -5.4 + -5.7q = -2.1q + -2.1

Reorder the terms:
-5.4 + 4.6q + -5.7q = -2.1q + -2.1

Combine like terms: 4.6q + -5.7q = -1.1q
-5.4 + -1.1q = -2.1q + -2.1

Reorder the terms:
-5.4 + -1.1q = -2.1 + -2.1q

Solving
-5.4 + -1.1q = -2.1 + -2.1q

Solving for variable 'q'.

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

Add '2.1q' to each side of the equation.
-5.4 + -1.1q + 2.1q = -2.1 + -2.1q + 2.1q

Combine like terms: -1.1q + 2.1q = 1q
-5.4 + 1q = -2.1 + -2.1q + 2.1q

Combine like terms: -2.1q + 2.1q = 0.0
-5.4 + 1q = -2.1 + 0.0
-5.4 + 1q = -2.1

Add '5.4' to each side of the equation.
-5.4 + 5.4 + 1q = -2.1 + 5.4

Combine like terms: -5.4 + 5.4 = 0.0
0.0 + 1q = -2.1 + 5.4
1q = -2.1 + 5.4

Combine like terms: -2.1 + 5.4 = 3.3
1q = 3.3

Divide each side by '1'.
q = 3.3

Simplifying
q = 3.3

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