8Q-4(Q-6)=6Q

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Solution for 8Q-4(Q-6)=6Q equation:


Simplifying
8Q + -4(Q + -6) = 6Q

Reorder the terms:
8Q + -4(-6 + Q) = 6Q
8Q + (-6 * -4 + Q * -4) = 6Q
8Q + (24 + -4Q) = 6Q

Reorder the terms:
24 + 8Q + -4Q = 6Q

Combine like terms: 8Q + -4Q = 4Q
24 + 4Q = 6Q

Solving
24 + 4Q = 6Q

Solving for variable 'Q'.

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

Add '-6Q' to each side of the equation.
24 + 4Q + -6Q = 6Q + -6Q

Combine like terms: 4Q + -6Q = -2Q
24 + -2Q = 6Q + -6Q

Combine like terms: 6Q + -6Q = 0
24 + -2Q = 0

Add '-24' to each side of the equation.
24 + -24 + -2Q = 0 + -24

Combine like terms: 24 + -24 = 0
0 + -2Q = 0 + -24
-2Q = 0 + -24

Combine like terms: 0 + -24 = -24
-2Q = -24

Divide each side by '-2'.
Q = 12

Simplifying
Q = 12

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