4Q-2(Q+4)=-5Q+6

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Solution for 4Q-2(Q+4)=-5Q+6 equation:


Simplifying
4Q + -2(Q + 4) = -5Q + 6

Reorder the terms:
4Q + -2(4 + Q) = -5Q + 6
4Q + (4 * -2 + Q * -2) = -5Q + 6
4Q + (-8 + -2Q) = -5Q + 6

Reorder the terms:
-8 + 4Q + -2Q = -5Q + 6

Combine like terms: 4Q + -2Q = 2Q
-8 + 2Q = -5Q + 6

Reorder the terms:
-8 + 2Q = 6 + -5Q

Solving
-8 + 2Q = 6 + -5Q

Solving for variable 'Q'.

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

Add '5Q' to each side of the equation.
-8 + 2Q + 5Q = 6 + -5Q + 5Q

Combine like terms: 2Q + 5Q = 7Q
-8 + 7Q = 6 + -5Q + 5Q

Combine like terms: -5Q + 5Q = 0
-8 + 7Q = 6 + 0
-8 + 7Q = 6

Add '8' to each side of the equation.
-8 + 8 + 7Q = 6 + 8

Combine like terms: -8 + 8 = 0
0 + 7Q = 6 + 8
7Q = 6 + 8

Combine like terms: 6 + 8 = 14
7Q = 14

Divide each side by '7'.
Q = 2

Simplifying
Q = 2

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