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Simplifying 17 + -1q + 11 = -12 + -3q Reorder the terms: 17 + 11 + -1q = -12 + -3q Combine like terms: 17 + 11 = 28 28 + -1q = -12 + -3q Solving 28 + -1q = -12 + -3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '3q' to each side of the equation. 28 + -1q + 3q = -12 + -3q + 3q Combine like terms: -1q + 3q = 2q 28 + 2q = -12 + -3q + 3q Combine like terms: -3q + 3q = 0 28 + 2q = -12 + 0 28 + 2q = -12 Add '-28' to each side of the equation. 28 + -28 + 2q = -12 + -28 Combine like terms: 28 + -28 = 0 0 + 2q = -12 + -28 2q = -12 + -28 Combine like terms: -12 + -28 = -40 2q = -40 Divide each side by '2'. q = -20 Simplifying q = -20
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