5.1q-2.5-4.2q=-0.1q-5.3

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Solution for 5.1q-2.5-4.2q=-0.1q-5.3 equation:


Simplifying
5.1q + -2.5 + -4.2q = -0.1q + -5.3

Reorder the terms:
-2.5 + 5.1q + -4.2q = -0.1q + -5.3

Combine like terms: 5.1q + -4.2q = 0.9q
-2.5 + 0.9q = -0.1q + -5.3

Reorder the terms:
-2.5 + 0.9q = -5.3 + -0.1q

Solving
-2.5 + 0.9q = -5.3 + -0.1q

Solving for variable 'q'.

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

Add '0.1q' to each side of the equation.
-2.5 + 0.9q + 0.1q = -5.3 + -0.1q + 0.1q

Combine like terms: 0.9q + 0.1q = 1q
-2.5 + 1q = -5.3 + -0.1q + 0.1q

Combine like terms: -0.1q + 0.1q = 0.0
-2.5 + 1q = -5.3 + 0.0
-2.5 + 1q = -5.3

Add '2.5' to each side of the equation.
-2.5 + 2.5 + 1q = -5.3 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + 1q = -5.3 + 2.5
1q = -5.3 + 2.5

Combine like terms: -5.3 + 2.5 = -2.8
1q = -2.8

Divide each side by '1'.
q = -2.8

Simplifying
q = -2.8

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