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Simplifying 2(1 + q) + -3 = 17 (1 * 2 + q * 2) + -3 = 17 (2 + 2q) + -3 = 17 Reorder the terms: 2 + -3 + 2q = 17 Combine like terms: 2 + -3 = -1 -1 + 2q = 17 Solving -1 + 2q = 17 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 = 17 + 1 Combine like terms: -1 + 1 = 0 0 + 2q = 17 + 1 2q = 17 + 1 Combine like terms: 17 + 1 = 18 2q = 18 Divide each side by '2'. q = 9 Simplifying q = 9
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