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Simplifying -6q + 13 + -3q = 17 + -1q + -20 Reorder the terms: 13 + -6q + -3q = 17 + -1q + -20 Combine like terms: -6q + -3q = -9q 13 + -9q = 17 + -1q + -20 Reorder the terms: 13 + -9q = 17 + -20 + -1q Combine like terms: 17 + -20 = -3 13 + -9q = -3 + -1q Solving 13 + -9q = -3 + -1q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add 'q' to each side of the equation. 13 + -9q + q = -3 + -1q + q Combine like terms: -9q + q = -8q 13 + -8q = -3 + -1q + q Combine like terms: -1q + q = 0 13 + -8q = -3 + 0 13 + -8q = -3 Add '-13' to each side of the equation. 13 + -13 + -8q = -3 + -13 Combine like terms: 13 + -13 = 0 0 + -8q = -3 + -13 -8q = -3 + -13 Combine like terms: -3 + -13 = -16 -8q = -16 Divide each side by '-8'. q = 2 Simplifying q = 2
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