4q+2=5q-6

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Solution for 4q+2=5q-6 equation:


Simplifying
4q + 2 = 5q + -6

Reorder the terms:
2 + 4q = 5q + -6

Reorder the terms:
2 + 4q = -6 + 5q

Solving
2 + 4q = -6 + 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.
2 + 4q + -5q = -6 + 5q + -5q

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

Combine like terms: 5q + -5q = 0
2 + -1q = -6 + 0
2 + -1q = -6

Add '-2' to each side of the equation.
2 + -2 + -1q = -6 + -2

Combine like terms: 2 + -2 = 0
0 + -1q = -6 + -2
-1q = -6 + -2

Combine like terms: -6 + -2 = -8
-1q = -8

Divide each side by '-1'.
q = 8

Simplifying
q = 8

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