3(Q-6)=2(2Q+7)+10

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Solution for 3(Q-6)=2(2Q+7)+10 equation: 


Simplifying
3(Q + -6) = 2(2Q + 7) + 10

Reorder the terms:
3(-6 + Q) = 2(2Q + 7) + 10
(-6 * 3 + Q * 3) = 2(2Q + 7) + 10
(-18 + 3Q) = 2(2Q + 7) + 10

Reorder the terms:
-18 + 3Q = 2(7 + 2Q) + 10
-18 + 3Q = (7 * 2 + 2Q * 2) + 10
-18 + 3Q = (14 + 4Q) + 10

Reorder the terms:
-18 + 3Q = 14 + 10 + 4Q

Combine like terms: 14 + 10 = 24
-18 + 3Q = 24 + 4Q

Solving
-18 + 3Q = 24 + 4Q

Solving for variable 'Q'.

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

Add '-4Q' to each side of the equation.
-18 + 3Q + -4Q = 24 + 4Q + -4Q

Combine like terms: 3Q + -4Q = -1Q
-18 + -1Q = 24 + 4Q + -4Q

Combine like terms: 4Q + -4Q = 0
-18 + -1Q = 24 + 0
-18 + -1Q = 24

Add '18' to each side of the equation.
-18 + 18 + -1Q = 24 + 18

Combine like terms: -18 + 18 = 0
0 + -1Q = 24 + 18
-1Q = 24 + 18

Combine like terms: 24 + 18 = 42
-1Q = 42

Divide each side by '-1'.
Q = -42

Simplifying
Q = -42

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