3q-38=4q-65

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Solution for 3q-38=4q-65 equation:


Simplifying
3q + -38 = 4q + -65

Reorder the terms:
-38 + 3q = 4q + -65

Reorder the terms:
-38 + 3q = -65 + 4q

Solving
-38 + 3q = -65 + 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.
-38 + 3q + -4q = -65 + 4q + -4q

Combine like terms: 3q + -4q = -1q
-38 + -1q = -65 + 4q + -4q

Combine like terms: 4q + -4q = 0
-38 + -1q = -65 + 0
-38 + -1q = -65

Add '38' to each side of the equation.
-38 + 38 + -1q = -65 + 38

Combine like terms: -38 + 38 = 0
0 + -1q = -65 + 38
-1q = -65 + 38

Combine like terms: -65 + 38 = -27
-1q = -27

Divide each side by '-1'.
q = 27

Simplifying
q = 27

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