2(9-Q)=20-2[Q+9-Q]

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Solution for 2(9-Q)=20-2[Q+9-Q] equation: 


Simplifying
2(9 + -1Q) = 20 + -2[Q + 9 + -1Q]
(9 * 2 + -1Q * 2) = 20 + -2[Q + 9 + -1Q]
(18 + -2Q) = 20 + -2[Q + 9 + -1Q]

Reorder the terms:
18 + -2Q = 20 + -2[9 + Q + -1Q]

Combine like terms: Q + -1Q = 0
18 + -2Q = 20 + -2[9 + 0]
18 + -2Q = 20 + -2[9]

Multiply -2 * 9
18 + -2Q = 20 + -18

Combine like terms: 20 + -18 = 2
18 + -2Q = 2

Solving
18 + -2Q = 2

Solving for variable 'Q'.

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

Add '-18' to each side of the equation.
18 + -18 + -2Q = 2 + -18

Combine like terms: 18 + -18 = 0
0 + -2Q = 2 + -18
-2Q = 2 + -18

Combine like terms: 2 + -18 = -16
-2Q = -16

Divide each side by '-2'.
Q = 8

Simplifying
Q = 8

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