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Simplifying -8 + -2q + 4q + 9 = 0 Reorder the terms: -8 + 9 + -2q + 4q = 0 Combine like terms: -8 + 9 = 1 1 + -2q + 4q = 0 Combine like terms: -2q + 4q = 2q 1 + 2q = 0 Solving 1 + 2q = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2q = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2q = 0 + -1 2q = 0 + -1 Combine like terms: 0 + -1 = -1 2q = -1 Divide each side by '2'. q = -0.5 Simplifying q = -0.5
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