q+23=4q-22

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Solution for q+23=4q-22 equation:


Simplifying
q + 23 = 4q + -22

Reorder the terms:
23 + q = 4q + -22

Reorder the terms:
23 + q = -22 + 4q

Solving
23 + q = -22 + 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.
23 + q + -4q = -22 + 4q + -4q

Combine like terms: q + -4q = -3q
23 + -3q = -22 + 4q + -4q

Combine like terms: 4q + -4q = 0
23 + -3q = -22 + 0
23 + -3q = -22

Add '-23' to each side of the equation.
23 + -23 + -3q = -22 + -23

Combine like terms: 23 + -23 = 0
0 + -3q = -22 + -23
-3q = -22 + -23

Combine like terms: -22 + -23 = -45
-3q = -45

Divide each side by '-3'.
q = 15

Simplifying
q = 15

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