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Simplifying 22 + 8s + 11q + -5s + -2q + 20 = 0 Reorder the terms: 22 + 20 + 11q + -2q + 8s + -5s = 0 Combine like terms: 22 + 20 = 42 42 + 11q + -2q + 8s + -5s = 0 Combine like terms: 11q + -2q = 9q 42 + 9q + 8s + -5s = 0 Combine like terms: 8s + -5s = 3s 42 + 9q + 3s = 0 Solving 42 + 9q + 3s = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + 9q + -42 + 3s = 0 + -42 Reorder the terms: 42 + -42 + 9q + 3s = 0 + -42 Combine like terms: 42 + -42 = 0 0 + 9q + 3s = 0 + -42 9q + 3s = 0 + -42 Combine like terms: 0 + -42 = -42 9q + 3s = -42 Add '-3s' to each side of the equation. 9q + 3s + -3s = -42 + -3s Combine like terms: 3s + -3s = 0 9q + 0 = -42 + -3s 9q = -42 + -3s Divide each side by '9'. q = -4.666666667 + -0.3333333333s Simplifying q = -4.666666667 + -0.3333333333s
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