13.42+8.7-15.9q=-18.9q-18.38

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Solution for 13.42+8.7-15.9q=-18.9q-18.38 equation:


Simplifying
13.42 + 8.7 + -15.9q = -18.9q + -18.38

Combine like terms: 13.42 + 8.7 = 22.12
22.12 + -15.9q = -18.9q + -18.38

Reorder the terms:
22.12 + -15.9q = -18.38 + -18.9q

Solving
22.12 + -15.9q = -18.38 + -18.9q

Solving for variable 'q'.

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

Add '18.9q' to each side of the equation.
22.12 + -15.9q + 18.9q = -18.38 + -18.9q + 18.9q

Combine like terms: -15.9q + 18.9q = 3q
22.12 + 3q = -18.38 + -18.9q + 18.9q

Combine like terms: -18.9q + 18.9q = 0.0
22.12 + 3q = -18.38 + 0.0
22.12 + 3q = -18.38

Add '-22.12' to each side of the equation.
22.12 + -22.12 + 3q = -18.38 + -22.12

Combine like terms: 22.12 + -22.12 = 0.00
0.00 + 3q = -18.38 + -22.12
3q = -18.38 + -22.12

Combine like terms: -18.38 + -22.12 = -40.5
3q = -40.5

Divide each side by '3'.
q = -13.5

Simplifying
q = -13.5

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