q=4q-8+11

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Solution for q=4q-8+11 equation:


Simplifying
q = 4q + -8 + 11

Reorder the terms:
q = -8 + 11 + 4q

Combine like terms: -8 + 11 = 3
q = 3 + 4q

Solving
q = 3 + 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.
q + -4q = 3 + 4q + -4q

Combine like terms: q + -4q = -3q
-3q = 3 + 4q + -4q

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

Divide each side by '-3'.
q = -1

Simplifying
q = -1

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