5q-10=14q-91

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Solution for 5q-10=14q-91 equation:


Simplifying
5q + -10 = 14q + -91

Reorder the terms:
-10 + 5q = 14q + -91

Reorder the terms:
-10 + 5q = -91 + 14q

Solving
-10 + 5q = -91 + 14q

Solving for variable 'q'.

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

Add '-14q' to each side of the equation.
-10 + 5q + -14q = -91 + 14q + -14q

Combine like terms: 5q + -14q = -9q
-10 + -9q = -91 + 14q + -14q

Combine like terms: 14q + -14q = 0
-10 + -9q = -91 + 0
-10 + -9q = -91

Add '10' to each side of the equation.
-10 + 10 + -9q = -91 + 10

Combine like terms: -10 + 10 = 0
0 + -9q = -91 + 10
-9q = -91 + 10

Combine like terms: -91 + 10 = -81
-9q = -81

Divide each side by '-9'.
q = 9

Simplifying
q = 9

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