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Simplifying -6 + 11s + 12q + -5s + -3q + 22 = 0 Reorder the terms: -6 + 22 + 12q + -3q + 11s + -5s = 0 Combine like terms: -6 + 22 = 16 16 + 12q + -3q + 11s + -5s = 0 Combine like terms: 12q + -3q = 9q 16 + 9q + 11s + -5s = 0 Combine like terms: 11s + -5s = 6s 16 + 9q + 6s = 0 Solving 16 + 9q + 6s = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + 9q + -16 + 6s = 0 + -16 Reorder the terms: 16 + -16 + 9q + 6s = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 9q + 6s = 0 + -16 9q + 6s = 0 + -16 Combine like terms: 0 + -16 = -16 9q + 6s = -16 Add '-6s' to each side of the equation. 9q + 6s + -6s = -16 + -6s Combine like terms: 6s + -6s = 0 9q + 0 = -16 + -6s 9q = -16 + -6s Divide each side by '9'. q = -1.777777778 + -0.6666666667s Simplifying q = -1.777777778 + -0.6666666667s
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