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Simplifying 19q + 19 + -8 = -13 + 11q Reorder the terms: 19 + -8 + 19q = -13 + 11q Combine like terms: 19 + -8 = 11 11 + 19q = -13 + 11q Solving 11 + 19q = -13 + 11q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-11q' to each side of the equation. 11 + 19q + -11q = -13 + 11q + -11q Combine like terms: 19q + -11q = 8q 11 + 8q = -13 + 11q + -11q Combine like terms: 11q + -11q = 0 11 + 8q = -13 + 0 11 + 8q = -13 Add '-11' to each side of the equation. 11 + -11 + 8q = -13 + -11 Combine like terms: 11 + -11 = 0 0 + 8q = -13 + -11 8q = -13 + -11 Combine like terms: -13 + -11 = -24 8q = -24 Divide each side by '8'. q = -3 Simplifying q = -3
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