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Simplifying -22 + 11r + 9q + -5r + -2q + 4 = 0 Reorder the terms: -22 + 4 + 9q + -2q + 11r + -5r = 0 Combine like terms: -22 + 4 = -18 -18 + 9q + -2q + 11r + -5r = 0 Combine like terms: 9q + -2q = 7q -18 + 7q + 11r + -5r = 0 Combine like terms: 11r + -5r = 6r -18 + 7q + 6r = 0 Solving -18 + 7q + 6r = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 7q + 18 + 6r = 0 + 18 Reorder the terms: -18 + 18 + 7q + 6r = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 7q + 6r = 0 + 18 7q + 6r = 0 + 18 Combine like terms: 0 + 18 = 18 7q + 6r = 18 Add '-6r' to each side of the equation. 7q + 6r + -6r = 18 + -6r Combine like terms: 6r + -6r = 0 7q + 0 = 18 + -6r 7q = 18 + -6r Divide each side by '7'. q = 2.571428571 + -0.8571428571r Simplifying q = 2.571428571 + -0.8571428571r
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