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Simplifying 5 + -1q = 17 + -3q Solving 5 + -1q = 17 + -3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '3q' to each side of the equation. 5 + -1q + 3q = 17 + -3q + 3q Combine like terms: -1q + 3q = 2q 5 + 2q = 17 + -3q + 3q Combine like terms: -3q + 3q = 0 5 + 2q = 17 + 0 5 + 2q = 17 Add '-5' to each side of the equation. 5 + -5 + 2q = 17 + -5 Combine like terms: 5 + -5 = 0 0 + 2q = 17 + -5 2q = 17 + -5 Combine like terms: 17 + -5 = 12 2q = 12 Divide each side by '2'. q = 6 Simplifying q = 6
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