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Simplifying -15.22 + 5.1q = 6.7q + 11.82 Reorder the terms: -15.22 + 5.1q = 11.82 + 6.7q Solving -15.22 + 5.1q = 11.82 + 6.7q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-6.7q' to each side of the equation. -15.22 + 5.1q + -6.7q = 11.82 + 6.7q + -6.7q Combine like terms: 5.1q + -6.7q = -1.6q -15.22 + -1.6q = 11.82 + 6.7q + -6.7q Combine like terms: 6.7q + -6.7q = 0.0 -15.22 + -1.6q = 11.82 + 0.0 -15.22 + -1.6q = 11.82 Add '15.22' to each side of the equation. -15.22 + 15.22 + -1.6q = 11.82 + 15.22 Combine like terms: -15.22 + 15.22 = 0.00 0.00 + -1.6q = 11.82 + 15.22 -1.6q = 11.82 + 15.22 Combine like terms: 11.82 + 15.22 = 27.04 -1.6q = 27.04 Divide each side by '-1.6'. q = -16.9 Simplifying q = -16.9
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