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Simplifying 19 + 12 + 2q = 5q + -20 Combine like terms: 19 + 12 = 31 31 + 2q = 5q + -20 Reorder the terms: 31 + 2q = -20 + 5q Solving 31 + 2q = -20 + 5q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-5q' to each side of the equation. 31 + 2q + -5q = -20 + 5q + -5q Combine like terms: 2q + -5q = -3q 31 + -3q = -20 + 5q + -5q Combine like terms: 5q + -5q = 0 31 + -3q = -20 + 0 31 + -3q = -20 Add '-31' to each side of the equation. 31 + -31 + -3q = -20 + -31 Combine like terms: 31 + -31 = 0 0 + -3q = -20 + -31 -3q = -20 + -31 Combine like terms: -20 + -31 = -51 -3q = -51 Divide each side by '-3'. q = 17 Simplifying q = 17
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