9[q-2]=3[q-12]

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Solution for 9[q-2]=3[q-12] equation:


Simplifying
9[q + -2] = 3[q + -12]

Reorder the terms:
9[-2 + q] = 3[q + -12]
[-2 * 9 + q * 9] = 3[q + -12]
[-18 + 9q] = 3[q + -12]

Reorder the terms:
-18 + 9q = 3[-12 + q]
-18 + 9q = [-12 * 3 + q * 3]
-18 + 9q = [-36 + 3q]

Solving
-18 + 9q = -36 + 3q

Solving for variable 'q'.

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

Add '-3q' to each side of the equation.
-18 + 9q + -3q = -36 + 3q + -3q

Combine like terms: 9q + -3q = 6q
-18 + 6q = -36 + 3q + -3q

Combine like terms: 3q + -3q = 0
-18 + 6q = -36 + 0
-18 + 6q = -36

Add '18' to each side of the equation.
-18 + 18 + 6q = -36 + 18

Combine like terms: -18 + 18 = 0
0 + 6q = -36 + 18
6q = -36 + 18

Combine like terms: -36 + 18 = -18
6q = -18

Divide each side by '6'.
q = -3

Simplifying
q = -3

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