5.4q-2.8-4.7q=-0.3q-5.1

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Solution for 5.4q-2.8-4.7q=-0.3q-5.1 equation: 


Simplifying
5.4q + -2.8 + -4.7q = -0.3q + -5.1

Reorder the terms:
-2.8 + 5.4q + -4.7q = -0.3q + -5.1

Combine like terms: 5.4q + -4.7q = 0.7q
-2.8 + 0.7q = -0.3q + -5.1

Reorder the terms:
-2.8 + 0.7q = -5.1 + -0.3q

Solving
-2.8 + 0.7q = -5.1 + -0.3q

Solving for variable 'q'.

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

Add '0.3q' to each side of the equation.
-2.8 + 0.7q + 0.3q = -5.1 + -0.3q + 0.3q

Combine like terms: 0.7q + 0.3q = 1q
-2.8 + 1q = -5.1 + -0.3q + 0.3q

Combine like terms: -0.3q + 0.3q = 0.0
-2.8 + 1q = -5.1 + 0.0
-2.8 + 1q = -5.1

Add '2.8' to each side of the equation.
-2.8 + 2.8 + 1q = -5.1 + 2.8

Combine like terms: -2.8 + 2.8 = 0.0
0.0 + 1q = -5.1 + 2.8
1q = -5.1 + 2.8

Combine like terms: -5.1 + 2.8 = -2.3
1q = -2.3

Divide each side by '1'.
q = -2.3

Simplifying
q = -2.3

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