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Simplifying -11.2q + 1.4 = -77.8 + -1.3q Reorder the terms: 1.4 + -11.2q = -77.8 + -1.3q Solving 1.4 + -11.2q = -77.8 + -1.3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '1.3q' to each side of the equation. 1.4 + -11.2q + 1.3q = -77.8 + -1.3q + 1.3q Combine like terms: -11.2q + 1.3q = -9.9q 1.4 + -9.9q = -77.8 + -1.3q + 1.3q Combine like terms: -1.3q + 1.3q = 0.0 1.4 + -9.9q = -77.8 + 0.0 1.4 + -9.9q = -77.8 Add '-1.4' to each side of the equation. 1.4 + -1.4 + -9.9q = -77.8 + -1.4 Combine like terms: 1.4 + -1.4 = 0.0 0.0 + -9.9q = -77.8 + -1.4 -9.9q = -77.8 + -1.4 Combine like terms: -77.8 + -1.4 = -79.2 -9.9q = -79.2 Divide each side by '-9.9'. q = 8 Simplifying q = 8
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