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Simplifying 11 + 1q = 3q + -19 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 = -30 -2q = -30 Divide each side by '-2'. q = 15 Simplifying q = 15
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