10q-11=8q+9

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Solution for 10q-11=8q+9 equation:


Simplifying
10q + -11 = 8q + 9

Reorder the terms:
-11 + 10q = 8q + 9

Reorder the terms:
-11 + 10q = 9 + 8q

Solving
-11 + 10q = 9 + 8q

Solving for variable 'q'.

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

Add '-8q' to each side of the equation.
-11 + 10q + -8q = 9 + 8q + -8q

Combine like terms: 10q + -8q = 2q
-11 + 2q = 9 + 8q + -8q

Combine like terms: 8q + -8q = 0
-11 + 2q = 9 + 0
-11 + 2q = 9

Add '11' to each side of the equation.
-11 + 11 + 2q = 9 + 11

Combine like terms: -11 + 11 = 0
0 + 2q = 9 + 11
2q = 9 + 11

Combine like terms: 9 + 11 = 20
2q = 20

Divide each side by '2'.
q = 10

Simplifying
q = 10

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