4.6q-4.8-4.2q=-0.6q-5.1

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Solution for 4.6q-4.8-4.2q=-0.6q-5.1 equation: 


Simplifying
4.6q + -4.8 + -4.2q = -0.6q + -5.1

Reorder the terms:
-4.8 + 4.6q + -4.2q = -0.6q + -5.1

Combine like terms: 4.6q + -4.2q = 0.4q
-4.8 + 0.4q = -0.6q + -5.1

Reorder the terms:
-4.8 + 0.4q = -5.1 + -0.6q

Solving
-4.8 + 0.4q = -5.1 + -0.6q

Solving for variable 'q'.

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

Add '0.6q' to each side of the equation.
-4.8 + 0.4q + 0.6q = -5.1 + -0.6q + 0.6q

Combine like terms: 0.4q + 0.6q = 1q
-4.8 + 1q = -5.1 + -0.6q + 0.6q

Combine like terms: -0.6q + 0.6q = 0.0
-4.8 + 1q = -5.1 + 0.0
-4.8 + 1q = -5.1

Add '4.8' to each side of the equation.
-4.8 + 4.8 + 1q = -5.1 + 4.8

Combine like terms: -4.8 + 4.8 = 0.0
0.0 + 1q = -5.1 + 4.8
1q = -5.1 + 4.8

Combine like terms: -5.1 + 4.8 = -0.3
1q = -0.3

Divide each side by '1'.
q = -0.3

Simplifying
q = -0.3

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