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Simplifying -10q + 1.3 = -92.2 + -1.5q Reorder the terms: 1.3 + -10q = -92.2 + -1.5q Solving 1.3 + -10q = -92.2 + -1.5q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '1.5q' to each side of the equation. 1.3 + -10q + 1.5q = -92.2 + -1.5q + 1.5q Combine like terms: -10q + 1.5q = -8.5q 1.3 + -8.5q = -92.2 + -1.5q + 1.5q Combine like terms: -1.5q + 1.5q = 0.0 1.3 + -8.5q = -92.2 + 0.0 1.3 + -8.5q = -92.2 Add '-1.3' to each side of the equation. 1.3 + -1.3 + -8.5q = -92.2 + -1.3 Combine like terms: 1.3 + -1.3 = 0.0 0.0 + -8.5q = -92.2 + -1.3 -8.5q = -92.2 + -1.3 Combine like terms: -92.2 + -1.3 = -93.5 -8.5q = -93.5 Divide each side by '-8.5'. q = 11 Simplifying q = 11
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