2q+4q-q-4q+q-2=14

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Solution for 2q+4q-q-4q+q-2=14 equation:


Simplifying
2q + 4q + -1q + -4q + q + -2 = 14

Reorder the terms:
-2 + 2q + 4q + -1q + -4q + q = 14

Combine like terms: 2q + 4q = 6q
-2 + 6q + -1q + -4q + q = 14

Combine like terms: 6q + -1q = 5q
-2 + 5q + -4q + q = 14

Combine like terms: 5q + -4q = 1q
-2 + 1q + q = 14

Combine like terms: 1q + q = 2q
-2 + 2q = 14

Solving
-2 + 2q = 14

Solving for variable 'q'.

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

Add '2' to each side of the equation.
-2 + 2 + 2q = 14 + 2

Combine like terms: -2 + 2 = 0
0 + 2q = 14 + 2
2q = 14 + 2

Combine like terms: 14 + 2 = 16
2q = 16

Divide each side by '2'.
q = 8

Simplifying
q = 8

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