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Simplifying 19 + 20q = 18q + 5q + -17 Reorder the terms: 19 + 20q = -17 + 18q + 5q Combine like terms: 18q + 5q = 23q 19 + 20q = -17 + 23q Solving 19 + 20q = -17 + 23q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-23q' to each side of the equation. 19 + 20q + -23q = -17 + 23q + -23q Combine like terms: 20q + -23q = -3q 19 + -3q = -17 + 23q + -23q Combine like terms: 23q + -23q = 0 19 + -3q = -17 + 0 19 + -3q = -17 Add '-19' to each side of the equation. 19 + -19 + -3q = -17 + -19 Combine like terms: 19 + -19 = 0 0 + -3q = -17 + -19 -3q = -17 + -19 Combine like terms: -17 + -19 = -36 -3q = -36 Divide each side by '-3'. q = 12 Simplifying q = 12
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