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Simplifying -20 + -13q + 17 = 3 + -19q Reorder the terms: -20 + 17 + -13q = 3 + -19q Combine like terms: -20 + 17 = -3 -3 + -13q = 3 + -19q Solving -3 + -13q = 3 + -19q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '19q' to each side of the equation. -3 + -13q + 19q = 3 + -19q + 19q Combine like terms: -13q + 19q = 6q -3 + 6q = 3 + -19q + 19q Combine like terms: -19q + 19q = 0 -3 + 6q = 3 + 0 -3 + 6q = 3 Add '3' to each side of the equation. -3 + 3 + 6q = 3 + 3 Combine like terms: -3 + 3 = 0 0 + 6q = 3 + 3 6q = 3 + 3 Combine like terms: 3 + 3 = 6 6q = 6 Divide each side by '6'. q = 1 Simplifying q = 1
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