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Simplifying 19q + 4q + 19 = -20 + 20q Reorder the terms: 19 + 19q + 4q = -20 + 20q Combine like terms: 19q + 4q = 23q 19 + 23q = -20 + 20q Solving 19 + 23q = -20 + 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. 19 + 23q + -20q = -20 + 20q + -20q Combine like terms: 23q + -20q = 3q 19 + 3q = -20 + 20q + -20q Combine like terms: 20q + -20q = 0 19 + 3q = -20 + 0 19 + 3q = -20 Add '-19' to each side of the equation. 19 + -19 + 3q = -20 + -19 Combine like terms: 19 + -19 = 0 0 + 3q = -20 + -19 3q = -20 + -19 Combine like terms: -20 + -19 = -39 3q = -39 Divide each side by '3'. q = -13 Simplifying q = -13
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