5q+6=2q-2-2+q

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Solution for 5q+6=2q-2-2+q equation:


Simplifying
5q + 6 = 2q + -2 + -2 + q

Reorder the terms:
6 + 5q = 2q + -2 + -2 + q

Reorder the terms:
6 + 5q = -2 + -2 + 2q + q

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

Combine like terms: 2q + q = 3q
6 + 5q = -4 + 3q

Solving
6 + 5q = -4 + 3q

Solving for variable 'q'.

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

Add '-3q' to each side of the equation.
6 + 5q + -3q = -4 + 3q + -3q

Combine like terms: 5q + -3q = 2q
6 + 2q = -4 + 3q + -3q

Combine like terms: 3q + -3q = 0
6 + 2q = -4 + 0
6 + 2q = -4

Add '-6' to each side of the equation.
6 + -6 + 2q = -4 + -6

Combine like terms: 6 + -6 = 0
0 + 2q = -4 + -6
2q = -4 + -6

Combine like terms: -4 + -6 = -10
2q = -10

Divide each side by '2'.
q = -5

Simplifying
q = -5

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