49q-23=78q-81

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Solution for 49q-23=78q-81 equation:


Simplifying
49q + -23 = 78q + -81

Reorder the terms:
-23 + 49q = 78q + -81

Reorder the terms:
-23 + 49q = -81 + 78q

Solving
-23 + 49q = -81 + 78q

Solving for variable 'q'.

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

Add '-78q' to each side of the equation.
-23 + 49q + -78q = -81 + 78q + -78q

Combine like terms: 49q + -78q = -29q
-23 + -29q = -81 + 78q + -78q

Combine like terms: 78q + -78q = 0
-23 + -29q = -81 + 0
-23 + -29q = -81

Add '23' to each side of the equation.
-23 + 23 + -29q = -81 + 23

Combine like terms: -23 + 23 = 0
0 + -29q = -81 + 23
-29q = -81 + 23

Combine like terms: -81 + 23 = -58
-29q = -58

Divide each side by '-29'.
q = 2

Simplifying
q = 2

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