q-3+6q-9+11q-15=q

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Solution for q-3+6q-9+11q-15=q equation: 


Simplifying
q + -3 + 6q + -9 + 11q + -15 = q

Reorder the terms:
-3 + -9 + -15 + q + 6q + 11q = q

Combine like terms: -3 + -9 = -12
-12 + -15 + q + 6q + 11q = q

Combine like terms: -12 + -15 = -27
-27 + q + 6q + 11q = q

Combine like terms: q + 6q = 7q
-27 + 7q + 11q = q

Combine like terms: 7q + 11q = 18q
-27 + 18q = q

Solving
-27 + 18q = q

Solving for variable 'q'.

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

Add '-1q' to each side of the equation.
-27 + 18q + -1q = q + -1q

Combine like terms: 18q + -1q = 17q
-27 + 17q = q + -1q

Combine like terms: q + -1q = 0
-27 + 17q = 0

Add '27' to each side of the equation.
-27 + 27 + 17q = 0 + 27

Combine like terms: -27 + 27 = 0
0 + 17q = 0 + 27
17q = 0 + 27

Combine like terms: 0 + 27 = 27
17q = 27

Divide each side by '17'.
q = 1.588235294

Simplifying
q = 1.588235294

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