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Simplifying 9(12 + q) + -19 = 71 (12 * 9 + q * 9) + -19 = 71 (108 + 9q) + -19 = 71 Reorder the terms: 108 + -19 + 9q = 71 Combine like terms: 108 + -19 = 89 89 + 9q = 71 Solving 89 + 9q = 71 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-89' to each side of the equation. 89 + -89 + 9q = 71 + -89 Combine like terms: 89 + -89 = 0 0 + 9q = 71 + -89 9q = 71 + -89 Combine like terms: 71 + -89 = -18 9q = -18 Divide each side by '9'. q = -2 Simplifying q = -2
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