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Simplifying -10.1q + 19.26 + -19.02 = -17.76 + -11q Reorder the terms: 19.26 + -19.02 + -10.1q = -17.76 + -11q Combine like terms: 19.26 + -19.02 = 0.24 0.24 + -10.1q = -17.76 + -11q Solving 0.24 + -10.1q = -17.76 + -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. 0.24 + -10.1q + 11q = -17.76 + -11q + 11q Combine like terms: -10.1q + 11q = 0.9q 0.24 + 0.9q = -17.76 + -11q + 11q Combine like terms: -11q + 11q = 0 0.24 + 0.9q = -17.76 + 0 0.24 + 0.9q = -17.76 Add '-0.24' to each side of the equation. 0.24 + -0.24 + 0.9q = -17.76 + -0.24 Combine like terms: 0.24 + -0.24 = 0.00 0.00 + 0.9q = -17.76 + -0.24 0.9q = -17.76 + -0.24 Combine like terms: -17.76 + -0.24 = -18 0.9q = -18 Divide each side by '0.9'. q = -20 Simplifying q = -20
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