15.4q+6.3=-3(-6.2q-17.46)

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Solution for 15.4q+6.3=-3(-6.2q-17.46) equation: 


Simplifying
15.4q + 6.3 = -3(-6.2q + -17.46)

Reorder the terms:
6.3 + 15.4q = -3(-6.2q + -17.46)

Reorder the terms:
6.3 + 15.4q = -3(-17.46 + -6.2q)
6.3 + 15.4q = (-17.46 * -3 + -6.2q * -3)
6.3 + 15.4q = (52.38 + 18.6q)

Solving
6.3 + 15.4q = 52.38 + 18.6q

Solving for variable 'q'.

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

Add '-18.6q' to each side of the equation.
6.3 + 15.4q + -18.6q = 52.38 + 18.6q + -18.6q

Combine like terms: 15.4q + -18.6q = -3.2q
6.3 + -3.2q = 52.38 + 18.6q + -18.6q

Combine like terms: 18.6q + -18.6q = 0.0
6.3 + -3.2q = 52.38 + 0.0
6.3 + -3.2q = 52.38

Add '-6.3' to each side of the equation.
6.3 + -6.3 + -3.2q = 52.38 + -6.3

Combine like terms: 6.3 + -6.3 = 0.0
0.0 + -3.2q = 52.38 + -6.3
-3.2q = 52.38 + -6.3

Combine like terms: 52.38 + -6.3 = 46.08
-3.2q = 46.08

Divide each side by '-3.2'.
q = -14.4

Simplifying
q = -14.4

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