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Simplifying 17q + 15 + 4q = 12 + 20q Reorder the terms: 15 + 17q + 4q = 12 + 20q Combine like terms: 17q + 4q = 21q 15 + 21q = 12 + 20q Solving 15 + 21q = 12 + 20q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-20q' to each side of the equation. 15 + 21q + -20q = 12 + 20q + -20q Combine like terms: 21q + -20q = 1q 15 + 1q = 12 + 20q + -20q Combine like terms: 20q + -20q = 0 15 + 1q = 12 + 0 15 + 1q = 12 Add '-15' to each side of the equation. 15 + -15 + 1q = 12 + -15 Combine like terms: 15 + -15 = 0 0 + 1q = 12 + -15 1q = 12 + -15 Combine like terms: 12 + -15 = -3 1q = -3 Divide each side by '1'. q = -3 Simplifying q = -3
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