q+2=7q+3q-20

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Solution for q+2=7q+3q-20 equation:


Simplifying
q + 2 = 7q + 3q + -20

Reorder the terms:
2 + q = 7q + 3q + -20

Reorder the terms:
2 + q = -20 + 7q + 3q

Combine like terms: 7q + 3q = 10q
2 + q = -20 + 10q

Solving
2 + q = -20 + 10q

Solving for variable 'q'.

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

Add '-10q' to each side of the equation.
2 + q + -10q = -20 + 10q + -10q

Combine like terms: q + -10q = -9q
2 + -9q = -20 + 10q + -10q

Combine like terms: 10q + -10q = 0
2 + -9q = -20 + 0
2 + -9q = -20

Add '-2' to each side of the equation.
2 + -2 + -9q = -20 + -2

Combine like terms: 2 + -2 = 0
0 + -9q = -20 + -2
-9q = -20 + -2

Combine like terms: -20 + -2 = -22
-9q = -22

Divide each side by '-9'.
q = 2.444444444

Simplifying
q = 2.444444444

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