3Q-4(Q+4)=-5Q+2

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Solution for 3Q-4(Q+4)=-5Q+2 equation: 


Simplifying
3Q + -4(Q + 4) = -5Q + 2

Reorder the terms:
3Q + -4(4 + Q) = -5Q + 2
3Q + (4 * -4 + Q * -4) = -5Q + 2
3Q + (-16 + -4Q) = -5Q + 2

Reorder the terms:
-16 + 3Q + -4Q = -5Q + 2

Combine like terms: 3Q + -4Q = -1Q
-16 + -1Q = -5Q + 2

Reorder the terms:
-16 + -1Q = 2 + -5Q

Solving
-16 + -1Q = 2 + -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.
-16 + -1Q + 5Q = 2 + -5Q + 5Q

Combine like terms: -1Q + 5Q = 4Q
-16 + 4Q = 2 + -5Q + 5Q

Combine like terms: -5Q + 5Q = 0
-16 + 4Q = 2 + 0
-16 + 4Q = 2

Add '16' to each side of the equation.
-16 + 16 + 4Q = 2 + 16

Combine like terms: -16 + 16 = 0
0 + 4Q = 2 + 16
4Q = 2 + 16

Combine like terms: 2 + 16 = 18
4Q = 18

Divide each side by '4'.
Q = 4.5

Simplifying
Q = 4.5

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