5q+6=6q-9

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Solution for 5q+6=6q-9 equation:


Simplifying
5q + 6 = 6q + -9

Reorder the terms:
6 + 5q = 6q + -9

Reorder the terms:
6 + 5q = -9 + 6q

Solving
6 + 5q = -9 + 6q

Solving for variable 'q'.

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

Add '-6q' to each side of the equation.
6 + 5q + -6q = -9 + 6q + -6q

Combine like terms: 5q + -6q = -1q
6 + -1q = -9 + 6q + -6q

Combine like terms: 6q + -6q = 0
6 + -1q = -9 + 0
6 + -1q = -9

Add '-6' to each side of the equation.
6 + -6 + -1q = -9 + -6

Combine like terms: 6 + -6 = 0
0 + -1q = -9 + -6
-1q = -9 + -6

Combine like terms: -9 + -6 = -15
-1q = -15

Divide each side by '-1'.
q = 15

Simplifying
q = 15

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