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Simplifying 10q + 6q + -9q + 3 = 17 Reorder the terms: 3 + 10q + 6q + -9q = 17 Combine like terms: 10q + 6q = 16q 3 + 16q + -9q = 17 Combine like terms: 16q + -9q = 7q 3 + 7q = 17 Solving 3 + 7q = 17 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 7q = 17 + -3 Combine like terms: 3 + -3 = 0 0 + 7q = 17 + -3 7q = 17 + -3 Combine like terms: 17 + -3 = 14 7q = 14 Divide each side by '7'. q = 2 Simplifying q = 2
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