6q+13=12q-2

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Solution for 6q+13=12q-2 equation: 


Simplifying
6q + 13 = 12q + -2

Reorder the terms:
13 + 6q = 12q + -2

Reorder the terms:
13 + 6q = -2 + 12q

Solving
13 + 6q = -2 + 12q

Solving for variable 'q'.

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

Add '-12q' to each side of the equation.
13 + 6q + -12q = -2 + 12q + -12q

Combine like terms: 6q + -12q = -6q
13 + -6q = -2 + 12q + -12q

Combine like terms: 12q + -12q = 0
13 + -6q = -2 + 0
13 + -6q = -2

Add '-13' to each side of the equation.
13 + -13 + -6q = -2 + -13

Combine like terms: 13 + -13 = 0
0 + -6q = -2 + -13
-6q = -2 + -13

Combine like terms: -2 + -13 = -15
-6q = -15

Divide each side by '-6'.
q = 2.5

Simplifying
q = 2.5

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