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Simplifying -6.7q + 1.8 = 45 + -1.5q Reorder the terms: 1.8 + -6.7q = 45 + -1.5q Solving 1.8 + -6.7q = 45 + -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. 1.8 + -6.7q + 1.5q = 45 + -1.5q + 1.5q Combine like terms: -6.7q + 1.5q = -5.2q 1.8 + -5.2q = 45 + -1.5q + 1.5q Combine like terms: -1.5q + 1.5q = 0.0 1.8 + -5.2q = 45 + 0.0 1.8 + -5.2q = 45 Add '-1.8' to each side of the equation. 1.8 + -1.8 + -5.2q = 45 + -1.8 Combine like terms: 1.8 + -1.8 = 0.0 0.0 + -5.2q = 45 + -1.8 -5.2q = 45 + -1.8 Combine like terms: 45 + -1.8 = 43.2 -5.2q = 43.2 Divide each side by '-5.2'. q = -8.307692308 Simplifying q = -8.307692308
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