5Q+9(1-Q)=-3Q+13(1-Q)

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Solution for 5Q+9(1-Q)=-3Q+13(1-Q) equation: 


Simplifying
5Q + 9(1 + -1Q) = -3Q + 13(1 + -1Q)
5Q + (1 * 9 + -1Q * 9) = -3Q + 13(1 + -1Q)
5Q + (9 + -9Q) = -3Q + 13(1 + -1Q)

Reorder the terms:
9 + 5Q + -9Q = -3Q + 13(1 + -1Q)

Combine like terms: 5Q + -9Q = -4Q
9 + -4Q = -3Q + 13(1 + -1Q)
9 + -4Q = -3Q + (1 * 13 + -1Q * 13)
9 + -4Q = -3Q + (13 + -13Q)

Reorder the terms:
9 + -4Q = 13 + -3Q + -13Q

Combine like terms: -3Q + -13Q = -16Q
9 + -4Q = 13 + -16Q

Solving
9 + -4Q = 13 + -16Q

Solving for variable 'Q'.

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

Add '16Q' to each side of the equation.
9 + -4Q + 16Q = 13 + -16Q + 16Q

Combine like terms: -4Q + 16Q = 12Q
9 + 12Q = 13 + -16Q + 16Q

Combine like terms: -16Q + 16Q = 0
9 + 12Q = 13 + 0
9 + 12Q = 13

Add '-9' to each side of the equation.
9 + -9 + 12Q = 13 + -9

Combine like terms: 9 + -9 = 0
0 + 12Q = 13 + -9
12Q = 13 + -9

Combine like terms: 13 + -9 = 4
12Q = 4

Divide each side by '12'.
Q = 0.3333333333

Simplifying
Q = 0.3333333333

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