1.4q+13.65=-6.3q-8.97+5.1q

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Solution for 1.4q+13.65=-6.3q-8.97+5.1q equation: 


Simplifying
1.4q + 13.65 = -6.3q + -8.97 + 5.1q

Reorder the terms:
13.65 + 1.4q = -6.3q + -8.97 + 5.1q

Reorder the terms:
13.65 + 1.4q = -8.97 + -6.3q + 5.1q

Combine like terms: -6.3q + 5.1q = -1.2q
13.65 + 1.4q = -8.97 + -1.2q

Solving
13.65 + 1.4q = -8.97 + -1.2q

Solving for variable 'q'.

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

Add '1.2q' to each side of the equation.
13.65 + 1.4q + 1.2q = -8.97 + -1.2q + 1.2q

Combine like terms: 1.4q + 1.2q = 2.6q
13.65 + 2.6q = -8.97 + -1.2q + 1.2q

Combine like terms: -1.2q + 1.2q = 0.0
13.65 + 2.6q = -8.97 + 0.0
13.65 + 2.6q = -8.97

Add '-13.65' to each side of the equation.
13.65 + -13.65 + 2.6q = -8.97 + -13.65

Combine like terms: 13.65 + -13.65 = 0.00
0.00 + 2.6q = -8.97 + -13.65
2.6q = -8.97 + -13.65

Combine like terms: -8.97 + -13.65 = -22.62
2.6q = -22.62

Divide each side by '2.6'.
q = -8.7

Simplifying
q = -8.7

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