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Simplifying -1q + 11 = 19 + -3q Reorder the terms: 11 + -1q = 19 + -3q Solving 11 + -1q = 19 + -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. 11 + -1q + 3q = 19 + -3q + 3q Combine like terms: -1q + 3q = 2q 11 + 2q = 19 + -3q + 3q Combine like terms: -3q + 3q = 0 11 + 2q = 19 + 0 11 + 2q = 19 Add '-11' to each side of the equation. 11 + -11 + 2q = 19 + -11 Combine like terms: 11 + -11 = 0 0 + 2q = 19 + -11 2q = 19 + -11 Combine like terms: 19 + -11 = 8 2q = 8 Divide each side by '2'. q = 4 Simplifying q = 4
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