Q+4(1-Q)=3Q+2(1-Q)

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Solution for Q+4(1-Q)=3Q+2(1-Q) equation: 


Simplifying
Q + 4(1 + -1Q) = 3Q + 2(1 + -1Q)
Q + (1 * 4 + -1Q * 4) = 3Q + 2(1 + -1Q)
Q + (4 + -4Q) = 3Q + 2(1 + -1Q)

Reorder the terms:
4 + Q + -4Q = 3Q + 2(1 + -1Q)

Combine like terms: Q + -4Q = -3Q
4 + -3Q = 3Q + 2(1 + -1Q)
4 + -3Q = 3Q + (1 * 2 + -1Q * 2)
4 + -3Q = 3Q + (2 + -2Q)

Reorder the terms:
4 + -3Q = 2 + 3Q + -2Q

Combine like terms: 3Q + -2Q = 1Q
4 + -3Q = 2 + 1Q

Solving
4 + -3Q = 2 + 1Q

Solving for variable 'Q'.

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

Add '-1Q' to each side of the equation.
4 + -3Q + -1Q = 2 + 1Q + -1Q

Combine like terms: -3Q + -1Q = -4Q
4 + -4Q = 2 + 1Q + -1Q

Combine like terms: 1Q + -1Q = 0
4 + -4Q = 2 + 0
4 + -4Q = 2

Add '-4' to each side of the equation.
4 + -4 + -4Q = 2 + -4

Combine like terms: 4 + -4 = 0
0 + -4Q = 2 + -4
-4Q = 2 + -4

Combine like terms: 2 + -4 = -2
-4Q = -2

Divide each side by '-4'.
Q = 0.5

Simplifying
Q = 0.5

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